{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Trading Strategies (a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Moving Averages"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data Import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "from pylab import mpl, plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw = pd.read_csv('../../source/tr_eikon_eod_data.csv',\n",
    "                  index_col=0, parse_dates=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2216 entries, 2010-01-01 to 2018-06-29\n",
      "Data columns (total 12 columns):\n",
      "AAPL.O    2138 non-null float64\n",
      "MSFT.O    2138 non-null float64\n",
      "INTC.O    2138 non-null float64\n",
      "AMZN.O    2138 non-null float64\n",
      "GS.N      2138 non-null float64\n",
      "SPY       2138 non-null float64\n",
      ".SPX      2138 non-null float64\n",
      ".VIX      2138 non-null float64\n",
      "EUR=      2216 non-null float64\n",
      "XAU=      2211 non-null float64\n",
      "GDX       2138 non-null float64\n",
      "GLD       2138 non-null float64\n",
      "dtypes: float64(12)\n",
      "memory usage: 225.1 KB\n"
     ]
    }
   ],
   "source": [
    "raw.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbol = 'AAPL.O'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = (\n",
    "    pd.DataFrame(raw[symbol])\n",
    "    .dropna()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trading Strategy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "SMA1 = 42  \n",
    "SMA2 = 252  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['SMA1'] = data[symbol].rolling(SMA1).mean()  \n",
    "data['SMA2'] = data[symbol].rolling(SMA2).mean()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jZcHzCxYsZPHiF5g0aTKLFv2Sr7/+ssX9y5d/QU1NDa+99jIOh4OVK79hwYKFGI2Br95ut/PMM3/k0UcfJzLyxO7ILYQQQnRG0zTe+fogADMmJLc49/rn+7E7PHy69jC/uGYix8Y8zYOmtkasAKrtLhKPSRJa7wxMG0aHB0a7cmpz0ev0nJM2s0d96QudjlipqvohYDum7P1mHxcAzRcHzVYU5SFFUf5XUZSzeqeZJ0ZxcRFPPvk/ABgMBmbPPheTqWWq/BkzzsJisTBy5OhWo1V+v5/a2hoWLbqXBQsWcu+995OZOYy1a1cDUFNTw1/+8icWLbqX1NQ0Vq36tn86JoQQQnSTu1lwtDe3iteW7aOixgFAfeO6qe0HyymrcfD3/+wEYPywmFb3tpd+Ibe4DoDyxjrhaECm1+vw+L0csRWSFp6CxXBit69pS4/WWCmKogcuBv7WrPgRVVU3K4oSCmxXFOUKVVWzOqonJiYUo9HQk6Z0SUJCxHFdbzYn43TW88orzxMREUFBQQEPPfQg5eUF5OXlsGzZh9x66618+OEHAOTl5bF16wYKC/PZu3cbGzZsoLS0CKsVIiIiKCsrw2o18847bzBmzHCeeOIJvF4vTz75OwDCwsKYN++qE9bfwU76O7SdTP09mfoK0t/BpmkhOcA/P99PVZ0Lk9nI/TdNaxEsfbk5P3g8PC2K/XnVWENMwf6bLS0HI66/YCwffHMQj6YjISGCnYerAicMHoymQIwQGWFle802vH4vE5PHDsjvsqeL138ILFNVNbiZtKqqmxv/bVAU5XvgbKDDwKq6uqGj072ie1OBep544k9tnlm8+E2AFnWGhsby+ON/CH6eMGEaAE4nOJ02dLoQnnrquVZ1NNed6cq2dHfqc7CS/g5tJ1N/T6a+gvR3MNp16OhmyVV1gVQKm/aWUF5uI9RqCgZXdfajiT/jwkzorHYqquqD/a+uDYxIPXjjFMYPj2V343qsmtoGystt5BXVYkw7hDE1mwPOCiCF+voGVuz/BqvBwuykc07Yd9lRQNfTdAu3AG80fVAU5XxFUS5pdn40kN3DZwghhBBigCgor29V5nB58fr8aFpwnIXKWicAD/xoEltcn2OdtJaVtv9Q7ayhqKKe7w9VAGBqHI0yGQIhia3Bg9fnZ+muzZjSstHpoNi4E12Ije2OldS4ajkzZdqASgraXKcjVoqizAHmAymKojwGPKOqqkNRlCnAQVVV7c0uLwN+pyjKaUAq8JGqqmtb1yqEEEKIwaj5m33NrdlZRH2zLWmO2AoxDSvgo6LvKXEG3iCs9pfw6p632f/tONACgZTZGPjXZNQDGsu35LN8Sz6mkcUAeMsyMCbmYxq2j1x3NalhyVwxYmAlBW2u08BKVdXVwOo2yr8Hvj+mbDdwba+1TgghhBADStP037HeXn4weGzMOIApJReAEgdEGqMp3TyVzNNyya07jDHZgrc4kGHdYjKwsXgr/zm0FMtkcB88Dc1rwRBbguY248kfgzm+BCKrAZg39kpCTQM37+OgSBAqhBBCiIHB6/NjNulxe1rnmwIIS6jCl5yL5jVhLBvPr6++kNpqE39a/z1Hto0k6oxC9CkFeEuHgU7jo7z32Vu9HwC9BSzjt6B5Tej0fjyVaeAzk1x9PvmGrZyTOZ2xMaPbfO5AIVvaCCGEEKLLvD4No7798CF+fB46HbizpnDeiFkkhyURF96Yl8pn4szkafiNDqyT12BRtrK3ej/DIjNYdMrdeCtS0Bk96K0N+J2hePPHAqBzReE+OJ3RoRP6o4s9IiNWQgghhOgyn9+PwdB2tvOYaD3lzjJ8dTH46+KICg/kmYqPDkGng1CLkXljrmSzWoQz9Aj6cDfDIjK4/7S7qKv34smZhLd0GHprA766WCDwHG9jHiuDfmBlWW+LBFZCCCGE6LK6enfjQvPWvNZyNDT89kBC0KgwS/DcqLQosgtr0aEnrGw6bofCL+ePYlhEOga9AZPRD+jQ6qPx1Ue3qNfTuNfvQNu+pi0yFSiEEEKILskuqqXe6aXGfnQ7mgdvbNrxTkNLVtGhY0xEYApv/IjY4HVRoWY0LZBx3efXMGJldPQITIZAotCmdAvNGRtHxo5mXu+4faVvv0nRi3/vbvd6hYxYCSGEEKJLdmUd3VT51/OnYWtwM354LH//5Tl8sH4nW6hjcvwEbjlnDjWzXQxLjgwm8YwMC0wL1ta7A9OJx0zrGY2tR6NGp0Vx4EgNLo8PaDv4alL+4QfUrlpB6Ckndh2WjFgJIYQQokuaz8SNToti6pgEAEKtJqIzywCYlDABs8lAYkzLlAhWSyAR6NP/3oHPr7UKrAxtDEfNPS0dAHdjYGVsJ7CqWbOK6i8/xxAdTeJN87vRs94jgZUQQgghusTjbTvFgs1t59v8NUSZI5mc0PaIkb0hsNWN3eHB62sdWB0rKTYUY+NaLpc78FxjG2u7HFmHKHvzDXQWC+n3PYQ5KbnL/ekLElgJIYQQokvCQwLroRKirS3Kd1fsx6/5OS9jFiHGkDbvvWzmMCDwZqDL48NiNnT4rLHpURgbgy9/41Y5xmPeRnQXF1H43F8BSLv7l1hSU4+zR71PAishhBBCdInDHZiSu/XS8cEyr9/LyvzvANodrQJIiglFp4PU+DDcbh9WU/uB1ZVnD+fG88egP3YdVrOpQHdxEQV/fQZ/QwPx824gdNz4Y6s5IWTxuhBCCCG6xN4QeBswItQULDtUk0NRfQnTk6aQGJrQ4f0GvQ6n24sGWMzthyBXnTMSgOTYUIwGHV5fYMQquFHztq2UvLYYze0m5pLLiL340p50q1fJiJUQQgghcLq9+Pxtr6FqYmtcJxXR+IYfQFZ1DgCnJ03t9Bl6nY4GV2Cj5ramAkMsLctiI62MST+a0yo81ETd+nWUvPIS+P0k3PhjEq67vtPn9icZsRJCCCFOcvVOD3f/7TtmTUrhZ5e1P6VW1+BGB4RbAyNWmqaxtyqQu2pU9IhOn6PX62hwBgKrtqYC/3b3Ofj9Wouy/XnVwWP32pWUv/9v9BYLybf/nPDJU46t4oSTESshhBDiJLc/NxC8rN1V3OF1tgYP4aGm4NqnneV7yLcVMilhAiFGa4f3QiBzurNxnVZbI1Ymo77dRe1nVu+h/L130YeEkHrPrwZkUAUyYiWEEEKc9LIKa4PHtfVuoppN9TXX4PQQaj26vmpb2U4ArhhxUZee42icBgSwdvJWYJMkvZOZhRsZV38EfXg46fc9iDVzWJfuPRFkxEoIIYQ4STlcXhqcHmwNR7eoySmqbfd6r08LpjzQNI28unzCTKGkhCUd97MtHbwV2KR+9y5uzf6YcfVHKA+NZ9hv/t+ADqpARqyEEEKIk1JFjYOHXtoAwMSRccHy5z/azW9/Op0RKZGt7vFpRxN7bindQaWzmskJp3Zrc+TO8ljVrFlF2Vv/QmcwYPjhjUyaex6mZps6D1QSWAkhhBAnoaagCuBIma3Fuc835LHomonBzw1ODznFdfh8WnDrmfVFmwG4etTl3Xp+e3msvDXVVHz8IXXr16EPDSVl4V2ETTi1W884ESSwEkIIIU4ymtbyzbtau5sRKZEcLq4DWq65AvjHJ3uCb+cZ9Dqya3I5VJPD6OgRJITG0R1tjVjVbVxP2Ttv4Xc4MKemkbzgdqzDhner/hNFAishhBDiJNN8EXkTr+9oDqvaejcu99FtZ5qnPDDodXyVtwKAy0dc2O02HLt4vfK/n1H56cfozBbirr6W6LkXYAhpe3ucgUwWrwshhBAnmao6V6uy86elt/j85dYcdlfsw+F1tCjXGfwcrM4mOSyJsTGju92G5ovXa1atoPKTj9CHhZHx8KPEXf6DQRlUgYxYCSGEECedKpuzVdnsyam88cUBwI9p+D6WO76CXRpWgwVjeir++mj8thjqQ7Px+D2cEjv2uJ9rMurxeAMjY02jYbbNmyh7+010FguZD/8ac8qJ30i5JySwEkIIIU4y5TWtAyuAv/7ibP743WvUWQoASA1LptpVgyn1MACaBhU6CDeFMTfjnON+bniIiWpbYLTMYjJg/34Hxa+8hM5oJOPBRwd9UAUSWAkhhBAnnXe+Ptjis7Fxc2OPoR6bJQ+/I4wR9Zfy0NwzyK2o5A/LPkFnbUAfVYHO6OO2qTcTY41uq+oOhVmNwcBKl32A4n++hM5gIO3e+7AOH97jfg0EElgJIYQQg5Tb42NfbjUTR8UG0yB05tg3Ai+bMYyxGVEAfJy1DA0NX/EovI0bIn+2uhBvycimuwEYc+GobrU3PiqEgvJ6zqjeS93ibWAwkHLbQkLHn9Kt+gYiWbwuhBBCDFLr9pTw3Ee7eGnJXgAKK+rJLqxt8YbfsfzHBFZnnpLEpFHx2Nx2dpbvITMiDZMtDZfHh9fnZ8ehimZX67jjygndbu/NF4zmgvLNzK3chiEigtRFdxNx+hndrm8gkhErIYQQYpBqmlbbppYD8NtXNwFw2tgEftEswWdzfn/LwCqkcWRqU8k2AKYmTqLUZMLl9vHV5iPB666ePZJTR8S2mZG9KzSfj/qX/8b02oNUmSKY8qsHBvz2NN0hgZUQQggxaB0NktweX/B4+8Hydu/wNw5mWUwGrjt3FPFRIdR7Glia/SVhplBOT5rKStN+SqsdfLQ6B4B7rpvElNHx3W+lplH6r9dxHDqIPTGTwnOuY8YQDKpAAishhBBi0Fq2Pi94/PNnVnfpnnqnB4Dxw2KCuasO1+bh03zMTjuLGGt0qw2SU2JDe9TOhj27qVu/DnNKKpMfepDTIiJ6VN9AJmushBBCiEHo2EXozcVHWdssr6pz8sAL6wHQ649unJxbF5jyGxGVCbTebsbczr5+XeGtqaH4lZcBSL59IYYhHFSBBFZCCCHEoORqNvV3rBBL2xNSzbemaQqs3D43W0q/R4eOYZEZQMus6HdceQoxEZZutdHvdlPyxuv4G+qJu+qaIbmm6lgSWAkhhBCDkL3B0+LzDXNHc95paUDrBepNqmxHt7IxNAZWuyr2UeGo5OzUMwg3hQFHA6vk2FBmnJLc7TYWLfuchj27sGRkEHPhxd2uZzCRwEoIIYQYhGyOloFVeIiJ+RcpRIaZ8bYTWO3PrQoeN80E7izfA8A5aTOD55qm/hqcLZ9xPFz5+RR88CE6i5X0+x9Gb+neqNdg0+nidUVRkoHfA5NVVT29sewW4OdAU07811RVfavx3M3AVMAHZKuq+nIftFsIIYQ4qdka3C0+m4yBsRKDXoe/8dU/vxb4V6/Ts/dwFQeO1ASv1+t1ZNUcZnvZLuKssaSFpwTPpcYHFqvXNXQvsPI7nZS+/S98DgeJ82/BEB7erXoGo668FTgLWAJMOab8RlVVc5sXKIqSDjwATFVVVVMUZYuiKCtUVT3UK60VQgghBAC2Y4Iea+OCc4Neh9dYyz/3vsv2sl2Y9SZOS5yMoeTUFtcb9Dq2lO4AYN7YK9Hpji5mnzomgY9W5zBrUgrdUfrmP3FmZxE1aSLRc87tVh2DVaeBlaqqHyqKcm4bp36hKEoJEAr8XVXVKuBiYJuqqk1jkBuAS4EOA6uYmFCMxu6/cdBVCQlD+02EY0l/hzbp79B1MvUVpL/d5deVAnDteaNpcHk594zhGPQ6fPHZOGP2srXUT1JYPLUuG+uLN5OgrwDGAIEAKjzMxK4qlTBTCHOU6Rj0R3+HExIieOPxi4gMM2M6zt/nvLfewbZ5EyHp6Yx/7FEMJ8kUYJPu5rFaDfxXVdVyRVEuA/4DnA8kArZm19U1lnWourqhm83ouoSECMrLbZ1fOERIf4c26e/QdTL1FaS/PVFSEahHSYtidHoUVZV2qp01OGMDa6Z+NuHHTE2chNvn5tntizlizyEsIwRnYQY+P+y2baIypJqzU8+gqrLt3+Eat/e42uSpqqTgkyUYoqJIWngXBotlSP59OwqOu7V4XVXVw6qqNqV1XQHMURTFAJQBzZ8W2VgmhBBCiF7kcAXSLYRYA2Mkfs3Pa3veAZ2GN28CpyVORq/TYzVa+UHGNWg+A/6UvYSfvhLz6B3Yww5iNVi4evQVvdIeTdMoeuHv4PMRd+XVmFNSe6XewaZbgZWiKE8qitI02jUGOKyC5VXxAAAgAElEQVSqqg/4CpimKErTRO1M4IueN1MIIYQQza3aUQiAxRT4KV+Zv5bDdXmEepLxlKficB0dbbJqkbj2nEUK47GazBhiS3FrLi4feREhxraTiR4v+/atuHIPEzZpMlHnzO6VOgejrrwVOAeYD6QoivIY8AxQAryoKMphYGLjeVRVLVAU5c/AXxVF8QGvysJ1IYQQonfV1R99I9BsMlBoL+bjrGWY9EZG+GdQqTmprXcTajUB4HB50VxhTLacymUzMymwFxFliSTaEtUr7fHa6ih5/VXQ6Yi76hp0+pM3m1NXFq+vJrCmqrlnO7j+beDtHrZLCCGEEO2obpbo02IysDx3CwA3j5vH1k0mwMlvXtnEuMxo7rluEg2No1ehVhMGvSGYYb23VP13GZrLRfy1158U2dU7cvKGlEIIIcQg1RRYRYaZKXeWsip/HeGmMCYnnEpJs4XoB47UcNdf1lDfmEw0xNL7b+A3HFSp+WY5huhoos87r9frH2wksBJCCCEGOLfH12KUqtoeOL7hvNFsLN6KhsYNytWYDCYmjIxtdf/unEoAEmNCe7VdmtdL5dJPAUi5bSF6a0iv1j8YSWAlhBBCDGBen58/v/c99/9jHVV1TpxuL299pQJgCHGxsWQbYcZQJsWfAsA1s0e2qmPHoQqiws2MTI3s1bZVfPoxjgP7CRk3nhBlXK/WPVh1N4+VEEIIIfrBByuzyCqsBSCnqC64Xgog27kLh9fBtaOvwKgP/KQb2lk4Pjo1Cn2z7Oo91XBQpfrrrzBERZN29y9bZG4/mcmIlRBCCDGAfbO1IHi8dncxLrcv+DmvPgeDzsBZqWd0Wo/H5+/VdlV9tgR8PpLm//Sk2WC5KySwEkIIIQaw1Piw4PGu7Er+/W0gi9FlF4aSby9kVNRwrO3kovrN/GnB4/AQU6+1qW7Dehr27yNkrEL4lKm9Vu9QIIGVEEIIMYC5PT5iIizMntwsk7nBw27XKvQ6PVeOurTde+OjrDx951mcPi6RG+aO7pX2aJpG5WdL0BmNJN40v1fqHEpkjZUQQggxAHm8fhb+eRUASTEh1Nqb3grUMI/ZToWzmtlpZzEiKrPVvX+4YwbFlfVEhQem6O686tRea1f1V1/gKSslcubZWNLSe63eoUJGrIQQQogB6O3lavC4xu7mgtMzAA3TqJ0YIqs5JVbhmjFt7/OXHBvK1DEJvd4mn91O5WdLMIRHEHflVb1e/1AggZUQQggxgOSV2Ki1u/huV3Gw7Jo5IxmTEc6wmfsxxpUQbUjk5vHXY9L338ST5vdT9MLzaC4XMZdciimh9wO3oUCmAoUQQogBoqDMzhNvbGlVfuH0DP57+GvKfEdIC0/h7im3E2EO77d2aZpG2Ttv4jioEjrhVKLPv7Dfnj3YSGAlhBBCDBAFFfZWZU/eMYPS+jI+P/w14aYw7pl6B+GmsDbu7jvVy7+kdvUqTPEJJP/sNvSm3nvDcKiRqUAhhBBigAiztgxY7r52Ikmxoews3wvAVaMv7/egqm7TRir+8z76kBDSH3wEY1R0vz5/sJERKyGEEGKA8HgDSTwvnZHJxWdkEhlqxul1sa54Mzp0TIwf36/tqd+zi5JXX0ZnMpHx0KOY4uL69fmDkYxYCSGEEAPAkVIbf/94NwDxUSFEhpoB2FOxjwpHJWenntGvo1XOwzkUv/Iy6PWk3nU3lozWaR1EaxJYCSGEEAPAC5/sCR6PSIkIHh+xFwIwPan/Mpy7y8soevkF/PX1JNzwI8ImTuq3Zw92ElgJIYQQJ1htvZuyGgcA9984heHJkcFzBbYiANIjUtu8t7f5nU6Knv8b3ooKYi65jJi5F/TLc4cKCayEEEKIE+z9xv3/zjwliQnDY4PlNredw3VHSAiJI6Sd/QB7k6ZpFP79WdxFRUTOOof4a+f1+TOHGgmshBBCiBOspnG7mstmDGtRvqFoC26fm1lpM/qlHbVrVuE4sJ8QZRyJP56PTqfrl+cOJRJYCSGEECdYUwCTEhfaojy37ggA05Om9HkbXAX5lL37NnqrlcSbfoLebO7zZw5FElgJIcQgUlbdEFyLI4aOBpcXs1GP0dDyZznPVkCUOYJoS1SfPt9bV0f+U38En4/EH8/Hkto/67mGIgmshBBiEHnk5Y088tKGTq9Tj1Tz0pI9eH2BvEjVNhefrMkJfhYDh93hIa/ERlxUyzVUeXX51LhqGRbZ92kOqpYtwd9QT8zFlxIx86w+f95QJoGVEEIMEpqmBY/9fq2DK+FP7+5g8/4ydudUAvDSkj18tj6XO55eFUxC2Zb/bsjl3a8P9kp7Rdc8/9EugFajVasL1gMwJ71vAx37zu+pWfEtxpgY4q68StZV9ZAEVkIIMUg0uLzBY5fH16V7LCYDABW1zmDZruyKdq//aHUO32wraBHEib7V9Lecf7HSojyvLh+rwcLYmFF99mxPZQVlb/8LdDrS7vkVeoulz551spDASgghBom6enfw2NPFKT2vLxAghViO7mB2IK+mzWubB1MOV9cCN9Fzfr9GiMXA6LSj66gcXielDeVkRqSj1/XNT7WmaZS//2+81dXEXHKZZFbvJRJYCSHEINE8sFq7q7jd65pP9bk9PjxeH0UV9cGyb7cX4HR7W93ndPuaHbc+L3qfpmlU1jmJjWi5vmp72U40NIZH9V2wU/3lF9i3b8MybDjx11zXZ8852UhgJYQQg0Rts8Dqw1XZ7U7XlVY1BI9dHh9ZhXWtrtmTU9Vh/b5O1nCJ3lFU2YDD5SMjMbxF+brCzRh0BmanzeyT57ry86lcthR9WBipd90t66p6kbHzS4QQQgwEB/NbTuHlltgYnhzYU675D2NTskmA1/67H6s5sM5qXGY0VTYXZTV2XvxqA7dYMzCYfUxJmECoKZTaZvd1tjhe9I7PN+QCMG5YTLDM5/dRWF9MangyMdboXn+m5vNRvPhFNJeTxBtuxRQX1+vPOJlJYCWEEIPEiu2FLT7nl9n5339t5dypafyk2cJnu8PT4rqmKb6f//BU1hduY2neCnQGH+/lBM5/cui/TE2aiK4+FnSBa70SWPWLDXtLARiVenRvwOL6Urx+L5kRaX3yzJLXXsFdXETk2ecQNXtOnzzjZCaBlRBCDALNR5CMBj1en5/swloAVu0o5CcXK5TVOAi1GNm4r7TV/QY9rCtbw7KC5YAeb1k6mjMMDF7qk3NZV7QJgJDTQfMaKW8YQxph/dK3k5nZqMft9ZOWcHQqcF+VCkBmRHqvP69+zy5smzdiTksnYd4NvV6/kMBKCCEGhU37A8HS2ROTmTwqnhc+3cN3zRawb9xXwuKle9FHVaAPsaGPjERzhaK5rOjDazGmZ7HscCUhRivhpbM5knd0ia23aCT3Lcjgk11rKXIWoLc28O7hNxmdcj/hJgmu+lJiTAjVNleLstUF6wkxWpmaOKlXn+W11VH04gug05F0808whId3fpM4bhJYCSHEILA/txqAi0/PpLLO2er84qX7MCTlYR52oN06RkRmMv+UG4g7O45HX95AZV3jD7pm4N2Pa0hLOJPD6kiM6Sr1qYdZmv0FP1KulYXNfcjn11p8v3VuGzWuWibGjyfMFNrBncdH8/koeXUxmstJwvU3EjJmbK/VLVrqNLBSFCUZ+D0wWVXV0xvLHgaSgRJgGvC4qqoHGs/lArmNtxeqqnpTr7daCCFOMnUNgTf24qOtRIa13hzXmHwYU6aK5jXhOaKgD69BZ3KhM7vQ3Fa8pZncd+d1wZxIT915Fmt3F/PO8oO4vX5KqhooaXyb0Fs4moRhtawr2sz0pCmMjRndfx09yfj9Ggb90cAq31YEQHp4766vqlm9koa9ewgZM5ao887v1bpFS10ZsZoFLAGab60dDtynqqqmKMoNwNPADxrPvaGq6u96tZVCCHGSc7p96ACzyYDVbOTqc0bwyXeHAdDHlGDMUNE8ZtyHpuK3x+CraLk+5/YfnNIi0aROp+OcSankldhaLYpHMzA9fC7fVH/I1tLvJbDqQ35NQ98ssMqpCfxNM3px4Xr9vr2U//sddGYzyXfcid5k6rW6RWudBlaqqn6oKMq5x5T9ttlHPWBv9nm2oigPARHAF6qqru/sGTExoRiNhq61uAcSEiL6/BkDifR3aJP+Dl1t9dWvaVjMBpISA2+PxcYcnSYypWWBpsOlTuNnF5zFa0v3EmY1YjDoqat3M21cIleeO6bNZ0VHhrRZbvEmE2WJYF3RZi4ZPxslvu+2VTmZ/rZwTH91OkxGHQkJEbh9HlatWUeEOYyZoycRZu75VGDdvv0cev5vAIx/5EFixvZ/dvWT7e/bozVWiqKYgZ8Ci5oVP6Kq6mZFUUKB7YqiXKGqalZH9VRXN3R0ulckJERQXm7r8+cMFNLfoU36O3S111d7gwezyRA8V1gS+FcXWos+1I6vOhGtIYqZ4xOpszmZriSSEB2C3eHBaja0+/2dc2oSm/YWU1geyMw+e3IKa3YWk32khnnnXMWre97is70riD0lsV/7O1Qd21+v14/JoKe83EZObS5Or4sz06fTUOujgZ59L36Xi/wXX0HzeEhddDfezDH9/l0P1b9vR8FitzOvNwZVLwK/UVU1u6lcVdXNjf82AN8DZ3f3GUIIIQJcHh9W09GRfYMhMH1kyjgIgLcsg/kXjUWv03HpmcNIiA6MRIWHmDAa2v+/+qhwC/+74Mzg55Gpgf3qdhyqYHjIGGIs0Wwv3Rlc+yN6l8+voWucCtxfGfhbDo/M6JW6y957B9eRPCJOP4PwqdN6pU7RuW4FVoqihAAvA39RVXWboijXNpafryjKJc0uHQ1kt1WHEEKIrnO6fZibBVaaBuj86COq8TdE4K9N4KxTU3r8nKhmC+O/3lLAFSMvwqv5+DL32y7XUW1z8dHqbNwe2ci5M02L16udNXyZt4JwUxjjY3v+xp5t6xbq1n6HKTmZpJ/d1gstFV3VlbcC5wDzgRRFUR4DngHeAU4FRiiKAhAGfASUAb9TFOU0IBX4SFXVtX3UdiGEOClomobb4wtuTQMQEWpCF2pDp/dzzpgJ/OiKub3yLJNRzxVnDWfZ+lw8Xj9nJk9jed4q9lbux+P3YtJ3voLkn1/sZ09OFT6fxvVzZeF7ezbvL8Xu8BBqNXKoJge/5ufiYecRYe5ZfilPVRWlb76BzmQi6Se3oje1fotU9J2uLF5fDaw+pviadq7dDVzbC+0SQgjRyOvT8PkDi9ebnDc1ja32bykCRkYO69XnXTA9nWXrc6m2u9DpdIyLHc3qgvXsq1SZnDCh0/trGhNeHikbemtretOry/YDUFbtILcukAB2RFTP/paa30/hs3/B31BP/HXXEzpW6fwm0au6vcZKCCFE/3A1TqlZmk0FenBRolOJD4ljcsKpvfYsjcC6LINeF9zMeVbqDADWN25705mCxoXw+3Kr8fr8vda2ocSvacHvZtbkJA5UHcKgM5AentqjemtWfou7sIDw06YRc9Elnd8gep1kXhdCiAEut7gOaBlY7Srfi1/zc3bKGViNlt57mAZ6nY7ocAvVNhc+v5/U8GRirTHk1uXj1/wt8mEda+uBMtA00pzljKnPJ+u5PUSGGNB8PjSXC7/Tgd/pRG8NwRgTgy05ETJHEnbqRPSWXuzHAOZweVm8dC8AGYnhnDbNz7Y95cxImY7J0P0cU66CfMrf/zf6kBDir52HTi9jJyeCBFZCCDHA/eWDnQDBqUCf38fXR1ahQ9dr+8k1pVlITwys74mOMJNdWMftT63il/MmMTZ6FBtLtrKjbDfTkia3ul/z+3EcVHF8+g2LcvcR4XMETtS0THSIwYDeasVfWgo52cFzOqMRy7DhRJxxJtFzzkNnHJo/TwVlNhb9dU3w8+j0KHLqDgEwI7n7b+55a6rJf+qP4PeTePNPMCcl97itonuG5n+5QggxgO04WM7Ln+3l9itOYZrScX6o9749FDzOTAoEPQX2Ikobyjk96TQSQuN6pU0/vWQcP75gbPDNw5jwo6NH32wr4PpLZ7GldAdLs78IBlY+h4OGfXuo372L+p078dnqSAIcejO7Ikahhg+jzBKDDz1nTUplb4GdW66cyOj0aDS/H5+tjjBvA4Wr11O/dw/OnGyc2VnUfreG5FsWYB0+vFf6NpB8s/lI8Pj8aelcN2cUL+xZgQ4dGRHpHdzZPk3TqFjyCf6GemIuuYyIM2b0VnNFN0hgJYQQ/ez5j3cD8M7XBzsNrJZvyQ8ez5wQGIXIbtz25JS43ttIV6fTtUjnEN0ssAoxG0mPSGVi/Hh2leym8PuNGLbvwb5jG35HYGTKEBFJjTKNL2wx5IckM3lsItmHKoJ1fLMvsIn0k29v5/VH5qLT6zFGRROZkIErLpX4a67DW1tDxacfU/fdGo784X+IvewKYi+/YkC/1fb5xjxS4kKZOiahS9erRwLfw+Uzh3HtnFHUuGrJq8snJSyp21O69d/voO67NZjiE4j74dWyafYJJoGVEEKcIDV2d4fn/X4teLzo6lOxmAz4NT87ygOB2aio4X3WthDL0Z+HOEclVV98zoy9OczMqqDe+xIAxtg4oudeQNjkKViHjyB3RxF5XweSXDZPDXEsl8fXYr1YE2NUNMk//RmRZ8yg6OUXqFq2FId6gJSFd2GMju7lHvbMsvW55BTV8X1WIHh8/ZGO0134/RpOt5f9h6sYlhzBtXMCWwStK9qMx+9ldvrMbrXD73JR+dkSAFIX3S37AA4AElgJIUQ/sjs8wePwkI5/BH3+o2/UnTI8FoCD1dnk1OYxLmYMsdaYvmkkYDTqSXJWcm7ldkZkFVMBWID6SAv7k/SMmXUJk2f+oMUC6dBmwZjV3MbPi96LMTGfZTlOLhoxu918TaHjT2H4735Pyeuv0LBvL4V/f5a0u3+JMSqql3vZPdU2Fx+vyeny9Zv2lfJy42J1gJTYo3sA5tTkAnR7rVz18i9xHckjfPoZWDL6fx9A0Zq8MiCEEP2oqKI+eOzxdpyKwOs7OmLVNIKkVge2Xp2beU6fTfn4XS5S1n/GTws+Z4SjmNyQZJalzGb4H54i6X+eYNXpEfzTsZ0jFbUt7tM42t5Q69HAakRKJBg8mMduw5SpsqJwFU9tfR67p572GKOjSfvVA0ScMQNX7mGO/P4J6vfu6f3OdkN+mb3zixq53L4WQRVAWGNAXWQvIbv2MEmhiYSbwo67Hd6aGmpWfIM+JISkn9563PeLviGBlRBC9KN9uVXBY5fHxza1vN1rfY1TgVPHxAfL1Kos9Do9I/toGtBdVkbubx8l8sA2akzhfJAyl/dSL6Q0bRzmxERSw5OJaBiNV+/gs91bWtzbPBDMSDw6GmU2aZhHf48hshpfbRxx2giqnNW8uvstnF5Xu23R6XQk33YHcT+8Gm91FYV//TPFi1/EW1vT+x3vQL3Tw95mf7fSqgYA5p6WBrScNj3Wqu8LW5XFRVoBeE/9BI/fy4WZc7rVrrJ33sJnsxF9wUUYQkK6VYfofRJYCSFEP1q6LrfF5398srvda32NCSSbNlFWq7LIs+UzLmYMIUZrr7fNeTiHI79/Am9VFZXjzuC1jCvJCUsHnY7IZnsIussCSSz3VO/mYP7RIKf53oAJ0SGg96KzNFAe+x2GqEp8NQm4D05jlHc2aeEpHKrJYUXOug7bpNPrifvBD8l87P9hycjAtnkThx9+gJLXX8GZm4umaR3e3xteXrKXZ977np2N66mKGwOr2ZNTGZ0ehcvta7cdH60ObJf7m59MIy7SSnJcKLMmpbCpeBvZtYcZHzuWmamnH3ebatetxb5jG9YRI4m78qpu9kz0BQmshBCinxxvENA0YmUwBKb89lWpAJyfObt3GwbYNm8i/+k/4nc0kHD9j9itzMGnP7rA3Ok+GjTVlIXgd1kxxJby1GfLg+WOZtesKVmF9bRvsU5eg8NcQpp1OO5DU0DTkx4fxS+m3IYOHZ8d+IYaV8spxbZYh48g87dPkHjTT9CHh1O3fh1Hfv87Cv78J+y7dqL5+y7D+4HGN/me/XAXFTUOSirr0QFJsaGEmI34NQ13G9O6gezqgb/hqNQonr7rLF759YVYzPBJ1n8x6U1cOer4s6M7cnIoe+dN9CEhJP74ZnkLcICRwEoIIfrJlgNlwePHb5kePN6wp4TdOZX87vXNfLfj6NSRtymw0uvwa34OVmejQ8fwyN5bpOz3uCl++QWKF78IQNItPyPmoouZd27LzZOdrkDQVG1zATo82YFcVsa0LByewHTeoYLA6JXOWs/m6rUA+GzRuPPG8fCMhdxz7VQA3F4fkeYIzs+cTaWjmnWFXdsqR6fXE33eXEY+9RdS7/kVoeNPwaEeoOi5v5L/5O9x5uX26LtoT0ZiRPD4oZc2cOBIDXFRViwmA+EhRkDjq+zv+L9Nf2F72a7gtZv2Bvb/Gz+s5UsGb+5/H5vHzjlpM8g8ztxV9Xv3UPiXp9DcbhJ/fDPWESO73zHRJySwEkKIftK0NmdkaiTDkyOD5Z98l8M3Wws4Umbn7S/3B8uLGvfcM+h1rC3cxBFbAeNjx/baFjaa10vhX/6MbctmzGnppD/wCFFnnwNATISFhVce3XC5ss7JC5/sJq8ksLGy3x6DrzoBQ0QNX2StBsDe4AE0Jp0TCCg8ORNx75+Bv2w4Br0BszHwk+PxBEZ35mYERt7y7UXH1W6dXk/4pMmk3/8QmY8/QdiUqTgP51Dw9B/7ZIF7Umzr9Uuj0wJvKCbE6zGP28xXRZ9TVF/C63veYUn2F2TX5PLKskBb9udVB+/Lqsxle9kuMiLSuHzEhV1ug+b3U7HkEwr/+mf8TieJ828hcubZPeyZ6AuSbkEIIfpJvdMLwE0XtkzsWVHrpKKuAWP6IeoSKvjdhlVEmiPZuz4ZiCK7qI6apJ3o0HHT+Ot6pS2a10vBM0/hOHSQ0AmnkrLwLgyhoS2umaYkcNHpGXy3qwiHy8dWtZytzRbbu3MmYp26irWlaxmTkI7P78eYmsPB2kOkh6dyqDoJgP93S2ANUVTjOq3cxuAsyhJBtDWSAtvxBVbNWTOHkbroHmq/W03ZW/+i8Lm/knL7QiKmn9HtOo/l87Wews1MCoxilYVtxRBZjcWZzNWTz2JJ9ucsz1vJ8ryVhE8Nw3FkFPOmzgKg0lHNX78P5AD7wchLsHZxnZzm81H+wXvUfPs1hogIkm//OWGnTOj8RnFCSGAlhBD9pKExsGpKRRATYWmcWtMwj/oeQ2wZPr+ecoeNckclllMO4y0Zjt0QTnXNYYZFZhBt6XkuJ7/LReHfnukwqILAovkbzx9Dfpm9xagLwEWnZ5CRGM4bW4vRZaq8tOsN/PFRmMJrMeqN/GzCj3l0RWDEpmn/wdT4MDISw9mZXYHP78eg1zMiJoMdxXspa6ggMTS+VRs6s2TtYcqqHdz+g3MxxcZR+PzfKH7pBbQFXiJnntWNb6c1r6/1+qlpSgKbS7azs2I3NEQRWnIW51w2g0kxE/nvnm3YzQXsrNyFedQu/mvby+ZN8ZQ2lOPX/MzNOIdTYruWNV/zeil79y1q16zGGBtL5q8fH3DJUkVLMhUohBD9pN4ZSA4aZg3kMXroR4E1R8a0rEBQVReDY/tcHJsvIbR0OviMmFJycSfuIcwUyo3K1T1ug6+hgYK/PB0MqlLvXNRmUNWcQd96cXSD04vVbMBXOgzXoSloHjP68MAi9IUTf0pSWCKP3zKdh388FX3j4mqdTofVbEDToK4+8F3MGR7Y1+7bI6uPqx+appFfZmfJ2sNs2FuC368RdupEMh56FJ3RSMlri6ldt/a46myPpzGwevaeWZx5ShL3XT8ZU4ibDw8uxWIw48w5haKKBmrr3fz768N8s8LLxi+Tce4+C33FSFLCk6lwVJIcmshPp1zHVaMu69KCc83rpeRfr1O7ZjWmpGQyH/udBFWDgIxYCSFEP2maCmzKUJ4UG4rJpGFIykPzmEmoO4tCf2CReGVePBTOxpR2CItFz4OX3kh8SM82XPY7nRQvfhFndlYgqPrFvV3aAkXfRmBlMukxNa6Z8tck4to7E2NaFuGmMMY3jsY0X0fW5FBBIPj6z8os7rhyAmemTyXEaOVAY+LTrvpodQ6fb8wLfnZ5fIRYjISMGk36Q49S8MxTlP7zVXx1dcRcfEmLDPHHy9v4xl+Y1cTCKyfg1/z8ccuz1HsbuGrUZfx7Q+D8r55vGchpznDi6k/jkdOPTksmJERQXm7r9Jma30/xKy9h37YVc3oGGfc/hCEiotP7xIknI1ZCCNFPGpweQi3GFoGKOfMAOqOXCMcoIozH/HB6zXjyJmAumdLjoMpXX0/RS/+gYc9urKNGk3b3L7u8r1xbI1YABsPRnxDNHYLn8ER+c0HXXv9vusSgNzA6eiQVjkpK68s6vqmZ5kEVBAKrJiEjR5H+qwcwhEdQ8dEHFP7tGby2ui7XfSyP149Brwv+3ZZmf0mhvZipCRM5P3M255/W/pt9zTez7ipN0yh+8R/Yt23FOnIk6fc/KEHVICKBlRBC9DFN01izs4iiioYWW73Y3Hb8sUfwO0OIbhhPYkzbU3I9zYGpaRqlb7xOw57dWDKHkf7AQ+iMXZ+waGvE6rwpabib5a2CQFqBmIiOA4mmhfsjU4+uFTutcZ+8N/a916X2eLy+VmUOl7fF55DRY0h/6FGso0bTsG8v+X/8P1wF+Z3WnV1Yy5Nvbwu+/Rh4nh+zSY+maSzPXcnXR1YRY4nmmjFXoNfpW30/I1KOBkFtbTbdEU3TKHn15UDyz5EjSf3FLzFGtB75EwOXBFZCCNHH1u8p4Y0vDuDXtBaB1Re534BOw1s6DK/HQGZS25sSx0b2LL1CxYcfYN+xDcuw4WT++rfoTebOb2rm2BGrU0fGkp4Yjr9ZxGc1G7jvhsmdjlbFRwXehMsvs7FxXwkOl5czkk+6ACMAACAASURBVE9jXMwYjtgKqHN3Pk3WPB9Yk8paZ6syS2oq6Q88TNR55+MpLSX/T3/oMB1DcWU9//fWNg4V1PLEG1uosQfyc7m9fkwGPWp11v9n776j4yrOh49/t+9Kq96rVb2Sm9wbbhibbkropiT0AIFACiEh7y8hPYGElpDQIaE322BMdcEdG3fJ9srqvUursn3vff+40kqyJUu2JGys+Zzjc7bcO3euZGkfzTzzDKuKPiFAa+K+Kbf7N8HuOq7LkulJ/scnEhPLskz9O2/R9vV29AmJxN99L9pgEVR914jAShAEYYSVVHcHC2OTlOTjNnc7X1VsRS8H4mtIoKrBTnjQscvvk6PN3HXphJO+tm3zJpo/+wRdZBTx99x7QiNVXY4ekenqT05GJAty4nj4pmk885OFaAaRx6TvHMHZuK+a5z48yD/e2AVAZlg6AIca8wdsI8Bw7BRmXYuj777rdEQvv4HoG7+P5HRS+eQ/aP16e5/HPvx870KlL64+yKrNxdQ02dEaPPz34NsA3DP5VqIDovzHLZqS0Ou8IJOOf96/gCXTErlqUfqA9wOdq//+9yotX3yGNjychPseQBsaNvCJwmlHBFaCIAgjrKRGye+5bkkm1y7OBMDadASAdP0k8OlweXyEBh07knTP9yYSHnxy+wLa863UvfYqaqOR2FvvQBd+cnla6qNGoYx6JTjSatT84IJs0uMHXwJCr+v9sXOgc/+9KdET0ag0fFa6bsA23J1TgZakUC6YpVShr2vuO7ACZTVi6MKzSfjxT1Cp1dQ8/x8aVryP5Hb7j+k5ldhVbyuvpJlVm4sBkENqsLlbWZh41jGV77PHhJEY1T3aqNOqCTBqWb50rLJn4gBkSaL+nTexbdyAJjSUxJ89hC5iaDl1wqkjAitBEIQR5PFKFFYpgdXS6UmoO7en2VSljJokGFP8x4YEHjvld7LTgN6WZqqeehzZ6yX21jswZWaeVDvQe8QqJz1iSHvTGbS9c47snQFNTEAUY8PSqbXX0+Gx93u+T5KoaVTenzcpjgtmjwHg850D508FTphI0q/+H+rAQJo+/oiyP/4OV5VSnLS4uju5/Tc3zzgmAJTMyvTjosS+q53fdVl3wU79CeRVybJMwwfv0bJuLdrwCFIe+SP66OhBny+cfkRgJQiCMIJsR+XfABxoOERBSzHjI7IYG6mMfsSEmQgOPHaKazDTa0eT3G4q/vEoktNJ1HXXY54y9cQ73qsP3YHUj6/KGVJbRwcsRn331GTXvnnlbZX05/0NRazsHEUy6jUE9shZ66uQ59GMyWNI+f2fCZo5G3dlBeV/+QPte/d0FmpVkutDzQbiIgL956jNzbhNVUQHRPZbxLTn8V0jegOR3G7qXvsvzZ+uQRsWRvKvfo0mMHDgE4XTmgisBEEQRpDNrkw3nTezO6E5t0HZD/Ci1KWMSwnn9ovH8eDyqWjU6pOe9uup+bNPcFdVETRzNqFnnzPk9vpaFXiyjh7NGZ/WPeWVFKTkKpW09j369PXBWj7dUeZ/btBrUKlUTEgLRxNdyqu579Disg3YB21wMHF3/JDo629Cdrup+vc/KXj1dQK8Dn+NsZ65UZqIalDB9zIuHtQ9BpoGLmPhKDhC+V/+iO2r9eiiY0j8+S9FTtUZQhQIFQRBGEFvfKEkY3dN87W529ldt59AbQCJ5nhUKhVzJsT6j3/8gYXU1Lay5UA141PDT/h69sOHaFy1AnVAINHXXT+kwphdTrRkwPGEmg0sX5JJekIIv3/1G745VEvepDjGp4aTEZqKXq1jQ8VmliYvRKPufd1vjloNaNQpH2EhiXXonYfY3Qglu4r5f7N+il4z8MrH0LMXo4+Lo/rF55nTnMucllx4fSOVCfGEh4Ryk0lif0s7Dk8xrnotac0a7A2HkD0ePM1NeOrrkTo6UJuMGBKTmZxgYm+lo9co2tHsZeVUPPM89kN5AATNnE308hvQmPteESp894jAShAEYYT4JInizhWBXbWNdtXtw+lzcnnGRccEDgDhwUZ8Lg+XzU878eu1tVH32n8BiP/RfcNWVDJ8gNpUJ6qrHEF0qIm6FgclNa2MTw0nSG9mWsxktlXvpMZeR4I5rtd5ps7RpEVTEjhY3ERsRAA+yUelah+yrELrCqOJJt6yruDG7KsHlQsWkJVN6/cfYPv/VpFmryStrZmOvbUAxHf+o3MArfKLPx+3rfNVKi6OiKTmmQMYEhLRJySgi4zCU1eLIz8fZ0kxrvIykGVMliwiLr6EgOxxJ/S1E05/IrASBEEYIQ6XsnotJz0CS3IYsiyzp24/ANOih5ar1Jf699/FXVNN8LwFBIy1DFu7wzE92ZcfXJDF397cg8fbnRuVHJTItuqdlLVWHBNYda3cu3x+Kjedp9zfR0WfUeuox9CRhKsom9jZe/i6ZhfTYiYzPmJwX4MvDzRwKGwcO8PG8cKDi5Dtdry2Fj7bt4ryysMENAUwRk5iYmYMKq0WtU6HJiQUXVQUGrMZyW7HkW+lIy8Xd2UlHXv30LF3zzHXUWm1BGVZCDrnPMyTp5zsl004zYnAShAE4SQ1tDhYsamIKxdl9Flx3NkZCJg7c2521+2joKWYtJAxhBmHdzPdhg/eo3XzRnRRUcTccNOwtj3UAqX90XUmsrt7BlbBSp5VWVsFc5gBKEnp9S0O/wrCrpErgL31uWhVGsJap1LhcXNj9jU8tuuffFm6gezwTNSqwU+F/umO2ajVajCbsethrakCd0I4ruZ5BM1KI+o4NalMGZmEX6jkYHltNtxVlbjKy/E2N6ENC8c01oIhMZHouLBB7RUofHeJwEoQBOEkPfzC13i8EvGRgVw0J4WN+6oINGqZZlGWy7c7PYASCHglL5+XbgBgedaVw9qP1h3baVqzGm1YGPH3PnBSRUCPJzJEqcWUHD28eUD6ztILPUesEgLjCNCa2Fm7h0vSz8ekNbFmeykrNxV3nqNG27lHYZOzmZqOWrLDx9JeacTnczEmKJH0kFTyWwrZX5/H5OiJA/ajKzm/55Tn29YVeGUfKdqJWCUNk9IHX1dKGxKCNiRETPONUmJVoCAIwkmorG/3BwRGvZbqxg5e+eQw/1rRvWVKbZNStDI6zMTKwjVUtFeREzmeuMCYYeuHp6mRutf/h0qvJ+6OuzDExw9b213MJh1/+eEcfnH90Mo2HE2vVT6Ceu79p9PomJ8wB4fXSZFN2Wh5l7Xe/35ESPe05MqCNQBMiMxGo1Ejo2whc/XYSwHYULEFn3TsvoJH83Z+H3Wd/enw2NnXkEd8YCw/PvsS/nznbH/FfEEYiAisBEEQTpAsy/zfizv8z1//Iv+Y7VB8koTLo3yoq3QutlR+TYg+iBuyrxq+fkgSVU8/gdTRQcSll2PKHDtsbR8tOtTUawpuOHQFMm6vRLvDw0sfH8LW7iI1RKntVdaq1LNKiOyu7dS1fYzL52Z/Qx4xAVEsSJiDRqOMOvl8MolB8aSHpHCkpYgvy74asB8+WUatUvmT3XfW7EGSJabFTMao0xPTz+bYgtCXAX9KLBZLLPAHIMdqtc7ofM0IPAZUApnAX6xWa37nezcAUwAfUGi1Wp8dob4LgiCcEgdLm4+7ue4/PzjAvsJaxiQaURnbWW9bgVvycFnKRQTohu9DuvGjVbjKyzFPn0HYuecPW7vflq7AyuORWLWpmM0Hqqlu7OCea5Qq8UW2EgDaHR7/OamxyqbEe+r245G8TI6aiFqlRttZVsLrk9Hr4I5J3+f32x/jw6JPCdIHMTd+Rr/9kCTZPx3o8rlZVfQJerWO6THDv8BAOPMNZsRqHrAK6Llu9X6gzGq1/hl4HHgRwGKxJAI/A35mtVofBG6zWCwnv4+CIJxB6lsc3PKXdTz3Ud6p7oowRBt2918ZHGBvVT66SeupjvkQ46TNNHvrmRs3gwUJc4atD47CApo+WoUmJISoKwdXWuB005VjVVTdSptDKaRaWNVKqCGEKFMEB5us7KvPpahzS6Crz84gPSEYSZb4sPATdGots+KmAXSPWEnKtJ5ZF4ixeibI8FHhZ0hy31XZy2rbqGro8FeXz2s8jNvn5uyk+USaxH59wokbcMTKarW+Z7FYFh318kXArzrfP2CxWHIsFkswcB6wy2q1dv0xtw24ADhyvGuEhQWg1Q5fAbr+REUNT02X7wpxv6eX9fuqAdieV8vPb5xxQvuJ9eV0v9/hdjrdr0dSfsX9362z+N2LyhTg4ulJrN+fjyamDG1sMSoVSB3ByD4tl09axPIZ5ygrzgZhoHt1t9go+ucTAGT99H5Cs0+85tXpwNf5dWxuc7HjUHfxz6AQEw+cdRu/+vKvbKvbgd2Vwvi0CG68WNmP70DtYWzuNhanzmXCGOXeA01KQdCQ0AAiOpPty4sM6KREWqMr+O0nb/D4dbf32kKnrKaV3768UznfqCU4zMCaHZ8DcI5lNlFhI/N/7nT6v/xtGG33e7IT5tFAz/WirZ2v9ff6cTU397/h5nCJigoaVUtcxf2efnYfqvE/3nmgakjJsN+F+x1Op/p+be0u/rUylysXpjM2KZRGmwOTQYPX7fUf0+ArxjBxMyqND9mjw1U0CckWBcDkBZNobOwY1LUGuldZlql56QW8be2EL7sUT3zqGfd/oaa2lRBjBMlBiRyoPYwmQo8sKWUKqjtq+dOOpwGwBFn89+7tTICvq29Dcnv9CfGeirFoQuto0B5k7Y4CZloS/Nd5dXX36LHd6eXj3A1Ut9dxVvxMAr2hI/J1PdX/l79tZ+r9Hi9YPNnk9TqgZ6vBna/197ogjHpF1a3+x6U1Z94vmjPZ59+UU1Bh4+n39+Nwealq6CAhyuzfbFdlaqNQsxGVxoe3Nhln7ln+oAp6r2QbqvadO2jbthVdTCzhF140bO2eTrpGsuaGnAuANqYUrUZNu7uDf+97GUmWWJq8iPERWf5zuqbyfD7l3HZHZ9Dr1eOtS0al9bK5YV2v6xT3+JnE1MYHR1ajUWm4MHXpSN2aMAqcbGD1MTAHwGKxTAT2Wa3WVuAzYJrFYuma7J8DfDLkXgrCd5zXJ+Fw+fyJio2tzlPaH+HENLe5AHB5JI5U2JBlsCSFEh5kQBNejSF7B5Lajbs0G0/pOO5dNoMl0xL953fVXRoqb0sz9e+9AyoVCffej1o38H5430U+n0x9i4OXP6jCZ4tAbbbRFLiP5w78l0ZnE4sSz+KyjAt75ZV1fY29Uldg1Z3w7q1ORXIGUODIpc3VPXJY3+IElQ91cAP6tAO4JQ/XWb5HqCHkW7pT4Uw04E+7xWJZCNwIxFksll9bLBYT8CQwxmKx/Br4KXArgNVqrUBZLfi4xWL5O/CC1Wo9bn6VIJzpPF6Jh5/fDkBkqDJy8fnO8lPZJeEEeH0S2/OUvePCgwzkFTcBSmD1+pE30WfsQ6OVuDz1Mh5cejmLpyaQkxlJcszw5pVILhc1L7+It6mRsPMuQB8bO/BJ31EvrzlEa4eSzO4pzUZ262k05lJoKybBHMflGceO1HWPWClJ6u12t//1sQnh+OoTUKllXt2l/K1/uLQZdE4M2TswZH2DOrCVadE5zDnO6kFBGIzBJK9/BfRVCOSefo5/DXhtiP0ShDPCG1/k8+WuCv/zyBCT8lcySq7Md3El12hSUGlj5aYi//O6Fge1nTmhLmM1e0tySQ1O5vvjriMqQFlBlpmo5M51fdAPl7o3X8Oel4sheQyR3xveyu2nm9ziJmLClbIUstOM68hUYi01zMu0cE7yArTqYz+6ulcFKiNWbZ0jVteek8k50xK55bE6tDFlHGInjY7FvPFVLoasnahNHfhs4fga47n57OXf0h0KZzKxpY0gjBBbh7tXUAW9c21e+vgQt14strw4XX20pZgVnduo9LS/sBG0bj4oXgnANZbv+YOqnpJjlO1fJmdEDrkvtk1f0bp5E7rYWJIefAjVIFcXfhdcsiCNwrJm8itsvba2WdvjZ0fuCOXOnKXHHQX0TwV2jlhVNShTfhGdG0jffsEUXtpWjz4tl/+36TGI96FWy0yPmsb4uEXotRrxh44wLERgJQgj5IGnNx/zWtdmvCpjOzvdqzm88R00KjU3jru6VyKucOr1FVR1MSeV0+JqZWnyIpKC+t5CJiHKzJ/vmN3n5swnwlVVSd1bb6I2mYi95Q7URtOQ2jvd3H7pROrr25Bkmdv+ur7f4waaWu0aIXxnfQG/umEa1rIWVEBmkpIvZdRp8DXG4QutRx1aj+wMJJqx3Dj+ij5HwAThZJ05f/YIwmnE7vT2+brL4wOdC33mHjShDahQ0eZp5z/7X6GmQyygPZWa21z+Jfp2p+eY9+dNjAO1F21cEb6oI5i0Rs5LWXzcNmPCA4ZUr8zX0UHlE/9AdjmJvOoaTGnfzXpVg6FWqQgOPPlkfE3niFVhZStFVa1Yy1uQgUCj8sfM2ORQkDW4C6bg/GYprtx5zI+bJ4IqYdiJwEoQRkDPVX/nTEtk0WRlVCMzMYSUmYWoTR14a5O5f9zPuCHrKiRZ4t/7X6aqvaa/JoUR1NTq5Kf/2sJzHx0EoLizHEagsftD1xNSSuD0DeiS8jFoDNydcysm7fCVUTiaq7KCsj88grepkdCl5xG6YNGIXet00ZV43tO8SXHcf9WkAc/tGg0G+HBLyTHvBxp1PHzjtM5nKmaNi2HRlOHfsFoQRKguCCOgwebwP75+6VgkSWZ+TjwhoT5eqylHag/BU5qN0+1jdtx0ytoq2Vi5lXfyV3LflDtQq8TfPN+mri1TdlnrAfhoszINuGR6Eqs2F6M2N3PQswutWsW8+IXMiZ9GvHnkVuW1fbOD6uefBZ+PkLPPIeqK4du4+XTWlXjexWTQcsuF2YM6N6pH/uKBokYADPreo4U9N5GekhmJ5gzKVRNOHyKwEoQR0GBTRqyuWpQOgFqtIjUumJdyX0dGZlLYZHai4v2vCpFlmZ9eewk19jrymwvYU7efaTGTT2X3R53NB6p7PbfZlanAsybEsmpLIYaMffhkH7dMuImcqPEj1g9Zkih/5z2qX38TlVZL9A9uJfiseaMmqfr+q3L49Osybl82jsr6DqJCBz8iOC41nMVTE1jXYx/Hn187pdcxoebufLfggDOzBphw6olwXRBGQFdBycwe29Y4vE721ecSGxjDzOjpABwqbeZwWQs1TQ6+l3ExAAcaDn/7HR7FPF5JWenX6d4nNlLbZGdSegSRoSZmLKkBvZNFiWeNaFDlaWyg4u9/o+z1N9EEB5P44C8JmTd/1ARVAGOTQrnvykmYDFoyEkMIMQ8+8V+tUnHFwvReryVFm3s9D+gxtRvYY+pQEIaTCKwEYQR0Ja/3zNH5unoXXtnH1OhJJEX3XuHUbneTaI4jUBfAkZZCfJLvW+3vaNZz2hago/N7Nyk9gtLWcnJt+4kOiOT8lHNGrA/2Qwcp+8MjOKyHCZ81kzGP/AFTWvrAJwq9mAxa7ruyOx9Lpz32I+6CWcmEmvVEh51ZqyuF04cIrIRRzeuTeP3zfP73uXVY23W4lA/ngM6cDrvHzqrCNRg1RmbFTiMytPcv9eLqNlQqFTmR42lx2dhavWNY+yP07511BX2+HhKk5aW8NwC4ZuzlmPWBI3J92+ZNVD79BL72dqKuvpasXz6INih4RK41GhgHWIV51dkZ/ONH8zAMYbWmIByPCKyEUe2LneWs3V3B+t2VSLI88AmDIMsyOw8rpRMCTTpkWeajos9wSx7OT1lMpCkc9VHTO++sL8DjlVgyZhEAR5qLjm5WGAFNrU72dU4DXrEwjZsv6K4l1kgxDY5G5sbNICs8c9ivLcsyjas/pPaVF1FpNMTfcx9h554/qqb+RsLRCeuC8G0TyevCqPbuhkL/4za7h5Ah1NHpUlnfvcmrVqMmr9HKxspthBpCeu1DlpUcyuGyFv9zt9dHtCmSAK2J0rbeFduFkWHr3I8OIChAz/yceGqa7FS2V/NZ1RoAliQvHPbryj4fjatW0LRmNWqzmcSf/Bxj8phhv85olBhlZmZ2NPNzRCkF4dQQI1aC0KmoyjbkNlrtbv7vJWUa7+YLsqhqr+G5A68qz8cvx6zrnk66ZnFmr+kIt0dCpVKRFJRAg6ORdncHwsj6eFup//Gs7BgALp6fiDt2L06fiysylxETGD2s15Qlidr/vkLTmtVogoJJfvj/RFA1jHRaNT+8dALjU8JPdVeEUUoEVsKolV/e0ut5XbOjnyMH7/Md5f7HOZmRbK3egVfyckXmMjJCU3sdOyY2iDsv7V5l5vYoCevjIiwAfFnW197nwnBqsysjVg9eN8U/hfRh4aeUtpWTEzWBsxPnDfs1m9aspnXLJnQxMaT8/k/oo4Y3cBME4dQSgZUwav3l9d0A6HXKj4HLc+Ir8b7YWc7nO8p48t19lNW2kV+hBGu3LxuHW9XOtqpvCNCaWJAwp8/ze246u2a7MnqyMGEuWpUGa3PfSdXC8JAkmfK6dmLCA8gaEwZAYUsJmyq3ERMQxS3jlw97vlPL+rU0rvwAjTmIpAd/hcZsHvgkQRC+U0SOlTAqyT0S1c0mHU0eFys3FXOgqJHL5qcNahphT349b6494n++r0ctpDnjY/mgYDVOn5Nrxl7W735kXasHoTvI0ml0jAlOoshWSllbBclBiSd8f8LAmlqdON0+Jsd1l77YVr0TGZlrLZcP+x5yzeu+pP6N11AHBpLwk5+hDQkZ1vYFQTg9iBErYdTx+iR+98o3/uc9t7korGzl72/tHVQ7T39woN/3Ojx2dtTsxqQ1Mid+Zr/HTbdE+1cIGnv049wxZyMj89bhFYPqi3DiurY9CQ9SqnvLsoy1uYAArYmM0OHd7LhpzWrq33gNjTmI+HvuEzlVgnAGE4GVMOpUNXRQWtvmf242nlwF5uCAvs87e2oC7+Z/SJu7nXnxs9EdZ+QjwKjl6fvno1JBced+dQATIrMZF26htK2cmo7ak+qfcCxZlnlnXQE7DtXy5S5l5eWscUrS+pGWIpqczYwNSx+2vRplSaL2f6/Q8MF7aEJDib/vfgLGWoalbUEQTk8isBJGna59/LrMndh7M12Vwc6/973MQ5t+x+bK7f22o9P2XS9HHVnKztrdJJrjuST9/AH7YzJomZgWQWltGx92bv4LMCt2KgD/O/TugG0Ig3OkwsanO8r4z6o8qhuVbWu6tj1ZV74RgMVJC4blWp6mRsr+9HtsX21AFxNL4k8eFNXUBWEUEIGVMOpU1Lf7H//kmhzmT+qud6PS29Fn7SC38RBtnnbesq6g2FZ6TBs+SaK5zUVKbBB3XjKe5UuUApLqkDq2t6wnUBfA9dlXDnrkY0FnzZ2uURSAiRETSAtOoaS1jEZH00ndq9Ctuc3lX7DQJdSs1C2TZInClhIijOGkh6YM+VqOwgJK/+9hXCXFBOZMJvmXv8YQL+oqCcJoIAIrYVRxe3ys3KSMCv3mBzOYkBrR410ZfdY3qA1OpgTP5qbsa5CR+fe+l6lqrwGUgOrdDQVsPVCDJMskx5iZNS4GrVaFJqocfeZeQOam7GtOKOl8YpqSLJ8co4yeyLLMXX/fxOEDytY3h5uP9HuuMDhVDcfWBfN4lUUMle012L2OY0pinIzW7Vsp/+ufkFwuoq+/kfgf/Vis/hOEUUSsChRGla4NdgFiwwN6vaeJqkBttONrjmbrjhBue2gaHZ4O3i9YzZ92PM712VcRaE/lk+1l/nMsyWG4fG6+bH0LfWodsgzfH7+cCZHZJ9QvrUb5G+dgSTPF1a2EBRkAkGxK4PdJ8VpmxU7rc6WaLMtIDgeS04HaaERtNKFSi7+ZjtZVs6qnqxdnAPBpyVqAE/6+9STLMk2rP6Rx1QpUBgOxt9xO0LTpJ92eIAjfTSKwEkYVj1epVWUyaHvtKabS29Gl5CH7NHgqMgFlpd7i5AXIbhMrS1fw2sF3cObOBbo3yE2IDGRT5TaavXX4mmLwVIxl+jmTT7hfPeslfbGznMVTldEu2WnGW5dIc3QFhS0lWMIzkCUJW14eNas/p+NgLr7WVpC662GptFoMSckEzz2LoFmz0QSMzObB3zUt7Upgdecl4+lwejhrYhwGnQa3z0Ne4yFiA2OYEjXxpNuve+M1bOvXog0LI+6uezGlDe/KQkEQvhtEYCWMKm6PEoDMHd87YX3uPNjdDu5yC7IjCGOPoOvQfiOOukkYxu5Gn74fd/40ZI8eZA2F9sOsKvkEvcqArWQceA1D7mNYsIF6W3cVeF9TLNroCg6W7CL6mwJsWzbjrlRysTTmIIxp6WgCA1EbjUguF97mZpylJTiLi6h/5y3M06YTds5SjKmj+4Pe1uECIDLUyKz4GP/rh5vy8UhexodbTqogqOzzUfvqy7Ru3YwuNpaEex9AHxMz8ImCIJyRRGAljCquzhErna57qqzN3U6ufTuypMLXrGwv4nT7ePLdfSyZkcTu/HogCm9DPNrIKoyTv0KWVMj2YN4rtmHQ6Lkh40betjZw0ZyUk+7bNYszeHtdAV6v7F+5aNBr8NqCmXfQTUbep9R7ZFCriZgzC9NZizCNtfQ57ee1tdC6dQu2zRtp276Ntu3bCJo5i/CLL8EQn3DSfRxpbo8PnyRjMmj55nAdzW0uls5IGpa2u0asQgO7g19JlnjvyEcA5ERNOPH+1lRT8+LzOIuL0CckEv+j+8QWNYIwyonAShhVukas9NruYMTaXIBbcqNqSAeP0f/6vsLGHtXUVXiKJiI7A4lIasEmN6E22wgzhHJXzs0kmOOY+sOxQ+rbxLQI3l5XgMfrY8VGZc/BKXIt00vWY/Y5cOpV2M6dxZQLricuLYH6+rZ+29KGhBJ+wUWEnX8h9rxc6t97h7YdX9O242vCl11KxLJLT7s8LEmW+eHflf0Rbzh3LK99ng/A9KxooqKCjnfqoNQ22dFq1P78NYC8xsM0OpuYETPlbt+cPAAAIABJREFUhFcDdhzYT9W/nkL2ejFPnUbMjT9AEzT0fgqC8N0mAithVOnKsTLouqf6imwlAESrUji2sEJPKm6bcQkzs2No7uig3FZDdkwyOs3JFRg9mq4z2DtSaUMlS8xtPsD8pn34UMP8BbwUe5CxsQZmBAUP0FKPHqtUBE6YSMD4CbTt2E7De+/Q9NEqnEWFxN3+w9NqtZqtvTu5vCuoAnjk5R28+tuB64ENxOXxYTJoUKuV6b5Wdxsv570BwNzjVMc/mixJNH/2CQ3vvwsqFdE33ETIgkWnXaAqCMKpIX4TCKNK14hVVxDj8DrYV5+HTq1lZooy4nT5/FR+fm3fCeg56ZEAhAUGMik+fdiCqp59MrfUckPFp8xv2ofbaOaVpIsIWXYtceFJ5DUe5lBj/gAtHUulUhE8aw7JD/+GgOzx2PNyKfvDI7gqyoet/0NVUt3a5+utdg8fbizk7XVHWLmpiP2FDSfVvk+S0ai7c6g2lG/B5XOzLO18xoYNrnCnr72d6v/8i4b330UdEEjiz35B6KLFIqgSBMFPjFgJo4rLo4xY6TtHrDZXfk2Ly8Z5YxZzXloK2WMiSI4OQuqxSTPAv3+yEL1OfVLJzYOlcTs5t247k1uPoEbGNmYcReMXUp/fgVeSWZ51JX/d+RSflKxlQda0k7qGNjSUhB8/QMOK92j+7FPK/vAI4RdfQvj5F6LSntpfB8fbe/FgcRNf59WA1oU2pox7AheSE5t1Qu1LPQKrIlspn5WuI1AbwMLEuYM631VeTvVz/8ZdXYUhJZX4u3+ELjxi4BMFQRhVxJ9ZwqhS36KstjOblJGm8rZKQJkKUqtUpMQGo1ar/HWlAGZkRWPQa0YsqJIlicbVH1L7u4eZ2ppPky6Yt+POoeWC63CbQwElqTspKIG0kBQKbcX85sOXT/p6Kq2WqKuuJf5HP0ZlNNK48gOKHvoZTZ99guR0DtzACJs9rntFXdf3ocPpRhNdhnHiFnQJhTyX9wqHGvORZZnWjmPrU/XFJ8mo1SrcPjcfdCas3zxhOSatcYAzlUrqFY8/iru6itDF55D80MMiqBIEoU8isBJGBZfbxyOv7OTDLSVo1Cqyx4QBUNVRg0GjJ9wYesw5XXWuAo0jN5IjuVxUPfM0jSs/QOroYEvYRF5JuojiwARMei3rdyuBX1fO0Q3ZVyE5TRxy7GBd2cYhXds8eQqpf36U0MVLkOx2Gt59m6KHfkbd22/iqqwYuIFh1hXs3nS+hcgQJdgZnxqCJqaEI4Er0accBI0XqSMYGYnnD/yPu5/+jPuf3kxJTe9pxDXbS3n0zT3sLWhAkpTRR2UqUM0nJWspbi1jXLiFrLDMAfvlOHKEyif+jq+1lairryN6+Y2nfHRPEITTlwishFFhb0EDpTXKKrr0+GBMBi3lbZVUd9SSHJTY955+nbOBel3fmy0Plddmo/KJv9Oxdw+msRbSHnuCTRFT8HZWVzcZuq9bXN1KWW0bAaoQ3EemInv0vF+wmretK5GPmrY8ERqTiejlN5D618cIv2gZKpWKli8+o/Q3v6byqcdxFBUN+T4Hw+uTaHd4sCSFYtRrueOS8cQluWmJX4t+zGFUBgfehjhc++fhyptLZPt0XJILVdZGdGPy2FdVACjVz2VZ5r0NhRwqbeap9/Z3lstQpgJ9gbV8WfYVIfpgbpt444CjkB15uVT8429IDgfRN/2AsHPPG/GvhSAI323izy5hVGhuc/kfBxiVkZHddfsBODtpfp/neH1KonvPacHh4mlqouqfT+IqKyVg/AQS7r3/mFEQk0FLYpTZv2n0v1Yc4L4rJiE7gnAdnsGYWUfYWLmVGnsdd026Gf0QEum1QcFEXn4F4Rcto2PfXpq//JyO/fvoOLCfoFmziV5+w4hWcG93eAAIDlQ2RW7TldEavwHJKRHmyqQqLwm8ev/xwY4MjAYVFeo9aGPK+bzlLSIrPWxar0U6qu1D5Y1MtUTikyQcEQeQZZmbxl2DQaPneNq+2Un1s88AEHvHDwmeOXv4blgQhDPWkAIri8WSAqwFupYWBQP7gRJgUY9D/2i1Wr8YyrUEYSh67hPXVXyzor0KoN/6RRqNCp8ko9UMb26V5HJR/ewzuMpKCZo1h9jb7vCPnPxi+RT++sYeQAmsbrs4m9++vBOA+hYn//3MCoDsCOK27Jt5s+Bt8psLyG08xNToSUPum1qvJ2jGTMzTZyj1r95+k7bt27Dn5hJzy60ETswZcq7ZlgPVvPjxIR6+aRrp8SG98qSCA/TkNR7mpbzX0aq1/HDiD7CEZ3DLvnUAPHzjNP74v11IEoQ4sijID0MdWocpI5c3rO/jCwpF7ghBHRSD7NGjH7ub7Ro7ezcakbIAvZMZMVPJCu9/ClCWJBo/XEHT6o9ApSLhvgcInDj0r60gCKPDUEes2oA7rVbrlwAWi+UR4AtgidVqXTTEtgVh2LT2CKyWTFf24atsqyLMEIpZ1/dIzAWzxrBqczGZicfmX50sWZapeuZpnIUFBE6e0iuoAmVT5y5GvYaYozaKPlJh8z+urvFxecaF/H3XM+yq3TssgVUXf/2rceNpWrOaxo9WUfXUEwSMn0D08huHtGXLix8fAuCP/93Fgpw4Nu6rZmyS8jUOCtDwUeEaZFnmjgk3YQlXNkl+5PY51DW0kZ4QggplWq/R5gRZjdQci/2gEV1SPprgJghqQRvbXZHM1xqGI7AVtcGH1BHE1WMv7bdvss9H/dtv0LJuLZrgYOLvuhdT5sB5WIIgCF2GFFhZrdZGoCuoMgDTrVbrbywWyxKLxfIw4AI0wNNWq9U+5N4KwklwuX3kFjeh1aj5y52zCQsyUNNRh83dxsTI7H7Pu2jOGBbkxPeq1D0UsixT8/x/sOflYsrKJu72H/Y5+pMSG0RJTRuRISbUKhUP3zSNP/531zHH/WtFLk/++CzGBCWxtz6XRkczEaawY44bCpVaTcTFlxAwbgINH7yr1L/60++Iuvo6gueeNeTRq437qgHIL28BoFy9l/L2KqZETSQ7oruS/dSsaOrrTQCo1Sqcbh+VDR3+r5XcEYr78EwykgMpspWgiaxkQkYQ+3fr8NUng8aDymBHdgYSsMzUZ18kp4Oal1+kfdc36KKiSPz5L9GFhw/p/gRBGH2GM8dqOfBm5+N3gRKr1dphsVjuBp4Gbu3vxLCwALTakUkQ7mk4tsX4LhH3q8grasTW7ubis1KxpEcB8OGujwFYOnbecb9OccPYv7I336Ztx9cEpqUy7pc/Rx8a0udxf713Ph6vRIhZCeh8xyk+WdHoZGH6TP67t5x6qYasqORh7HEPUTkkzZxEzaefU/LKf6l9+QXcuXtJv+tODBGDDz4qO/PF+iZRLh0kQGfi3rO+j9nQeySx6/uk0agpq1PamTQ2imnZMby/Xkle/+2t89mbn8W8nHg0GjW7x9Txm+e2gU+HbA/h2V+eQ1TksdXmXY2NHH7iMdoLCjFnZpL9q1+gDx/eIPVEiJ/dM5u43zPbcAZWVwGXAlit1rwer68Dfn68E5ubR34wKyoq6Lh7q51pxP12e/R/3wAQoNf4jymoL0WtUpOsT/1Wvk6tX2+n5q130ISEEHXrndg8ahjguvUOZfqyrd3V7zGb91RS42yFCNhTcYiswP5H4IaDdvpckhNSqHnlJZp3fsOuffsJO/d8wi9ahlo3cPL8/sN1/b6nS82jzd3G/IQ5OFolHHR/fXp+f3sUTyfEqCUnI5L31xdw/qxk3A4345JCaGrqACAp3MQFs5P5ZHsZd182AZ0sH/P9th86SPULz+GztWCeNp3Ym2/F5tMO+P0ZKeJn98wm7vfMcLxgcViWO1kslrOBrVar1dP5/NEeb2cCBcNxHUE4Uet2V9DYqiSr52QoBR1lWaa6o5YoUyQ69cgvjG37Zgc1LzyLSqsl4b4H0MfEntD5PTeM7vLQ92cAsC2vhuIiFTqM7KzZTat75H+B6ePiSfr5Q0QtvwGVTkfT6g8p+fVDHFjxKT6P57jnVjYoAc/ty8Zx7TlK7tKVi9IYO6sKbVQlCeY4Lk4797ht9NyWJizISHiwkWd/toirFvW9Lc1VizJ46aHFTM+K7vW6r72d6uefpeLvf8NnayHiksuIu+Mu1Ma+pwoFQRAGY7g+Ve4A7u3x3GuxWJ4E6oCJwD3DdB1BOCFdhTUzE0OIi1CmllpcNhxe56CKQw5V266dVP/nGVCpiP/RjzGOSTnhNkwGLXPGx5KZFEK73UNZrZLE7SersRimk+vazO66/SxKPGv4bqAfKq2WsMVLCJk7j4YP3qVpwwYMH7/Fri1fMe6eO/ntJ5VMzYxi+dKxvc7rCqwsSaGEBxvJyYjgy5o1lNv3E24M45bxy/tdTNClZ2A1PlWZhtT1EXz2R/b5aN22lfp33kSy29FFRhF76+2YMscOfLIgCMIAhiWwslqt1x31/JfD0a4gDEVXHSqAjB6BSG6jsiotwRw/ote3Hz5E9XP/UUaq7v8pAVknN02nUqm4fdm4Xq+FhfYeVRkfOoG82i18VrKOCRHZRJq+naRrtdFI1HU38JeCIBY17iarpYzyP/+BScEWNrTkHBNYFVe1EmjU+hcENEhlbK3eQaQxnAem3UWooe+8s540nXXFwoIMJxRQAXQc2E/9e+/grqxApdUSecVVhJ13gdhEWRCEYSN+mwhnrLLa7kTpzKTukgnbq3ehVqmZGz9zxK7tqqyg+vlnQZaJvf3Okw6q+nN00dJgfTBLkhfS6m5jZWe5gm9LcXUbLfpgVsYtYmXMfOwqHbNb8ril/CNcFeX+42qb7TS2Ov0lJXbV7uPF3NcAuGXC9YMKqkDZu1GjVvnLZgyGs7SEmpeep/LJf+CuriJozlzG/P5PhF9wkQiqBEEYVqLyunDG2rxfKQCaHG0mJ13Jr5Jkicr2auIDYwkxjMxKFXdtDVVPP4nP1kLk964kaNqMEblOT5Isc0nG+eQ2HmJP3X4+NEVwafoFI35d6K4RFhNm4jCpFAUmsqhhF1Nb8yn90x9wXHEz8dNyWLW5GIBJGaG8evBtdtbuRoWKKzMvYUxw0qCvd83iDC6dl4rJcPxfX5LbTevmjdi2bsFVolxbn5hE3K13YEga/PUEQRBOhAishDNW1zYp9105yV9vqc7egEfykDhC04Cehnoq/vEo3sZGws6/kPALLx6R6xxNkmTUKjV3TLyJv33zNBsqtrAwce6gR4GGwuX2AZCTEcnnO8txq3V8HjWLpsBIllRvxfDms7y1dhoHLHr0ma2s7dhJg6ORlOBkbsq+mpjA6AGu0JtKpeo3qJLcbjr276N9zy7a9+5FdjlBpSJgwkRCFy5SKseLDZQFQRhB4jeMcMZyeZQcq0BjdxmA/GZlgWpi0PAHVs6yUiqf/Ac+m42w8y4g8oqrhv0a/ZE6p/6iTJGcN2YxKwvX8ObhD7gr5+YRv7bLowRWSdE96kOpVOwJyqQRI5fXbuC8um9ICjSycaqZFpees+JncVXmJeiGsL9hF1mWcVeUY9u6hdZtW5DalSlgbXg4wUuWErJoMbqwU1eTShCE0UUEVsIZy+X2AqDTKTk0sizzWel6dGodkyLHHe/UE2bbvIm6115F9nqJuOQywpddOuSq5AN57O65fLqjjC+/qUCSZfYXNvDsh3n89JopjAk6QF7jYWrt9cQERI1oP7pGrIx6DS89tBiAv76+G2t5M+WZTt6YHspFm1oZV+wktVJF4hXnEpa2CPVJBlWyLOOpqcZRcAR7vhXH4UN4m5sB0AQHE3be+QTNmI1hzJgR/x4IgiAcTQRWwhnL6fZh0GlQd3641trraXHZmBadQ8QwrZqTJYmmjz+icdUKVDodcXfeTdCMkUuK7yk82Eh8pFKaQJbhiXf3A7A7v4El4xbyYu5rvGNdyb1Tbh/Rfjg7R6wM+u7dE3yyF13yYbSxpbR4TLwSt5AbkxqJy/+axjffoPnDVZgnT8UwZgy6iEh0ERHoomNQ6/XK/Xi9eG0teJua8TY34cVNS0UtropyHEWF/lEpALXZrGwcPXU6gZMno9bpR/R+BUEQjkcEVsIZq6XdRai5+0P2UJNS08oSljEs7cuyTOPKD2hasxqNOYjEBx/CEJ8wLG0PVlfQKEndqwBNBg1ToiYyJjgJa3MBdo+dAF1Af00MyaHSZj7Zrmx4bNR1/zopVe9EG1uK7NHhOjibey+Zw+TMSDzNl9Oy9gtat2ymdcsm2LKpuzGVCk1ICEgSvrY2JVrsgyY0lKBZczBlZGDKyESfmCRGpgRBOG2IwEo4I3m8Eq12DwlRSt6PV/LyaclatGot4yIsQ25fcjqo/e8rtO34Gm14BEm/+BW6iIght3uiugIrX4/AKq+4iYvmpDAxIpvS1nJ21e1ndswM6luc/hGunmRZ5kiFjbT44GPKOByPLMs8+uYe//OuEav99XloY0uRnCZcB+eAV8/kzEgAdGFhRF15NZHfuxJXaQnu+jq8DQ14GhtwV1XhbWkGlRp9bBzasDC0YeFow8MJT4yhw6dBn5iIxhwkAilBEE5bIrASzkhFVTYAIkOMAFS2V9Pu6eCs+FmEGUOPd+qAfA4HVf98Eof1MIaUVBLu/THakKG1ebK6SjDZOtz+1w6XtVDTZGdqTA6fla5jZcEa1n0pU1rt4KHrpzI2qXdf315XwOc7yzlnaiLXnzv46uO1zY5ezyNDjDi9Lj4q+gwAd+Fk8Oq5/eJj89lUajXG1DSMqWmDulZkVBDyGbjfmCAIZx5RGU8448iyzF/fUEZSzpoYB0CRTZmuSg9JGVLbksdN5eOP4bAeJmDCRJIe/OUpC6qge8RqxcaiXq9/8FUhMQFRLE5agNPnpFJ1AIDi6tZj2vh8p1LEc+3uihMqLFpR197rucmg5d0jq6jqqCEjaCxyh1LqISVudO1sLwjC6CYCK+GM07PiekZCCLIss7/hIAApIckn3a7k8VDx2N9wFhUSOHkK8Xf9yJ9sfaqo1b2nxCZnKFNue440ADA7bjpIanSJBajDamm1O4/bXklNG+V17bz+eX6vUbC+vL2u997qTq+L3bX7CDWEcPvEG/yvhwSKZHJBEEYPEVgJZ5zXv1CS1M+flYxaraK0rZz85gIyQ9OINkWeVJuS00n5X/6Is7CAwEk5xN12B2qDYTi7fVLUR+UadY3Q+SSZ372yk+iASFxHpiDLYMjcw2bfa2yo2IJPUlbytR4VPDW1Ovnza7tYu7uCx9/Ze9xrd9Wvum5JJr+/dSZrir/ALXmYGzcDs9HoPy7AOPRaVYIgCN8VIsdKOKN0OD0UVCr5VZfNSwUgv7kQgPkJs08q6dnTUE/lU4/jrqoicPIU4m67E3WPwOFUOroCuU/q3ni6pKYNh8uLZIsiqG42Nn0h6hAb7+avIrfhEHdNupm84iYAggN0tNo9/GtFrv/8stp2JFk+JngDpXaVy+MjMcrM0ulJeCQvWw5+TaghhHOSFwDw0PVT8fXYCFsQBGE0EIGVcEZxuLz+x3qdhhaXjXXlm1Cr1GSGpZ9wex15uVT980lkj4egmbOIveX202pLFM1RU4ERIUZ+sXyKP8ds84FqALJDs9lyIIyYOA1RE/M51JTPW9YPWLtaWclo7/F16+mpVTuIspShUqm4MHWpf4ucR9/ag8crkTVGyS/bXbsPp8/F3PiZGLVK0Hl0krwgCMJocPp8QgjCMPD6lOTrBTnKlNju2n20udtZlnY+wfrBJ1HLsoztq/XUvf4/UKuJuvo6Qpeee9ot80+LD2ZCajjzJsURExbAmFjlHs+aEMuW3Bre/PIIAEEBehKjzVTWtJMSPZsATQNbq3dijJqKszGCjBl1FLeWIHWEEOhOwBDSTouuiHxjB0eU2Ix99Xlca/kek6MmUFSlJMHPyIrG4XXy7pEP0aq1Sk6XIAjCKCYCK+GMIcsye/LrAfz1mPJblNVyM2OnDL4dSaL+rddpWbcWdWAgsbfejnnS5OHv8DDQ6zT85Jpj+xYd3rsgqFajJjEykNKaNjbtqUNtziRw/C68qbsxJmsolXyozaA223BRhgtQ+dRI7aFIzTFcMDeBr6o28kLu/4j0jEUdFILkDMQc6uY/+9/E4XVwcep5JJjjvqU7FwRBOD2JwEo4Y1jLWnh3g5JPVdfioMVlI7+5gAhjOOHGwW3CK/t8VP3nX3Ts2Y0uJpb4u3+EISFxJLs9InpWnAeICjUSHWpiS24NAFJ7GGPs51CkX4+s8jI3ah5rPzWgDm5k8UIDsYHRBNhTeG6FMuI1IWAqs2dM4dFtL9Cgy8eQrbT7hx0bAEgLGcOipLnf2v0JgiCcrkRgJZxWXlx9kC25Nfzu1pkkdlZNH4jD5eXqX33cK78qt6iJtWXluHxuLk47a1DtyF4vFf94FEe+FWNaOnF3/Qhd2OACstNNSmyw//EFs5OZmR2DSgXPrz7ofz33gAqNejHJsWauXzKT6SHNJESZMZu6V/HVL/CxYmMRtnY3dc0SLXumowmtQ2W0ozJ2MC0rkmnRk5ganXPaTZMKgiCcCiKwEk4bsiz7R1Q+3FzM3ZdPHNR51vKWXkEVwLxJMeyqXYFJa2RBwpwB25BcLsof/QuukmICxo0n7s670QQeu/3Ld0V8ZPdU4FWLuvdGvP+qHLbmVrPjUB0APgkSIpS8LEvysUFkTJgJgH2FDWw5UAPo8DV274d4x1WLR6L7giAI31kisBJOqQ82KlN331uQjsfbvTQ/YZCjVQDVDR0AzJ0QyzRLFF6fTJl6B7aKVmbHTUerPv5/c8nppPKpx5WgasJE4n94N2qj6STu5vShUav5zQ9m+Pfv6zIpPYJJ6RHsOLTO/1pMeP/3Gh6srPDLLWryv3b+zGTS4oPxSqKUgiAIwtFEYCWcMh1OD6u3KlvNXDwnBafb53/P21n/qCvY0mn7rmVrd3pYv6cStQq+tyCN8GAjdo+Dt7buIEhv5oqMZcftg8/hoObF53DkWzFlZRN/z72odWdGpfCuFYJ9yUwM4UiFUu8rKKD/+02MCkSl6t6LcExMEOfPSiZYVFMXBEHokwishBGz90gDMeEm4iL6nlKrbrD7H+8vbCQusvu4j7eV8vE2JegKNGp5+v4Fx5zf1OrkZ89sBWDW+Fj/6Mob1vdx+pwsST6XAF3/ozGSy0X1f/6FPS8XfUIiCfc9cMYEVQMx6LpHssKD+68gb9RriYsIpKpzVHD50kwRVAmCIByH2NJGGBHNbS6een8/Dz//db/HVDd2+B8/szKX2ib7sQdpXTj0NbR7Oo55a8PeSv/jizurrFe0VbG37gDxgbEsHbOo32tLHg/VLzyLPS8XY3oGyQ//3ynf9+/bpO8RWFkGKOQZ16N0Q0LkdzfvTBAE4dsgAithRBRXt/off/p1WZ/HVDf2DqR6nqMKtKFL3Y9xynoMWd/w261/Ja/xMABVTa3UNLVhLWsB4J7LJzB5bDSFLSU8tfc5ZGTOS1ncb26VLMvUPP8fOvbsxpiWRuJPfj6qgioArUZZwWcyaNFpNcc9dmJ6hP+x2PdPEATh+MRUoDAith+s9T9+Z30B581MQqVS0eH0sCe/gelZUf4RqznjY9iWV0tBhQ2Q0aUdQBtZBYDkNOHrCMUZUcMz+14iQBVMh68NUOGVU4mITiEs1sEL37zJF4WbkJG5NP0Cpsf0XdBTliSqn32G9t27MKalk/Djn5wWmyl/26o6p2GTogdeJJA1Rlkt2LMMgyAIgtA3EVgJI6KoytbruccroddpeP2LfLbn1WLrcFHV2IHZpCMjIYRtebUU1zWgz9iPJryOME001024mO1f+9hSWIu3JoWxsyoptVUiu8yoDHZ0CYXYKeTvu9YCEBMQxRWZlzA+wtJnn7wtzVQ/+28cR/IxpqURf8+93+mSCkNxzrQEXv3UyrK5KQMeGx1q4qfXTCZeTAMKgiAMSARWwrDrcHpoanWRHGOmrLYdgDe+zKe2yYG1XJm+e/+rIlSBNkIzi1lh+wTjNBmVRlkVmBGSxg9zfoBJayTfrGxJI3eEsNA8h+fWKQUuVcYONFHlxEbqyUmLYVx8Opmmsf1O/7Xv20vNC88iORwEjJ9A7G13oA0K7vPY0WDh5AQmZ0QSYh7caN341PAR7pEgCMKZQQRWwrBrd3gASI4OIinKzJbcGjbuq/a/rwpoRRtXhDaiBicQroukod2NDPiaYvnRoh+g6wyQzpoUx0dbSwBY07lKcNncFD7aWoK3PIsZqWksy0whKiqI+vq2Y/rirq6i/v136di7B1QqZTPlJUtRqUV64WCDKkEQBGHwRGAlDLvmVhcAQYE6fD6513uqwBYMWTtQaSQkexDXZC1jXuok7nh0g/8YXY9Rp+hQE5akUKzlLVTUKzlZdpeXS+el0tjq5OI5Y/rsg7umhqZP19C6ZRPIMvq4eGJvvxNjct/HC4IgCMJwEIGVMOyOVCjTfWlxwbR1jl4BqExtGLJ2otJIRLfP4v4lFxESoNSe0mpUeI8KwrrcffkEfvzUZv/zKZmRjEs5dmrKa7NhP3yI1m1bsOflgiyji40l8vIrME+dLvayEwRBEEacCKxGocqGDmLCTGg1IzMdlt9Z0TszKZSSzhIKKkMHhuyvUWl8LIm5kMsXL+p1zhP3zuNXz23nioXpx7R3dGXwrqBK8nhwFhXiyLdSnX+ItsNWkJXgzJiWTtjS8zBPmYpKK/6bC4IgCN8O8YkzymzPq+G5jw5ywexkpluiKalpY9Hk+GEbzdlf2EBecRMRwQaCA/SEmg2gdaHP3INK68VTkcHUcVOPOS/AqOOJ++b32+4jt8zkNy/tYEqkiubPP8N+KA97vhXZpUw7olJhysgkYPwEzFOnYYhP6LctQRAEQRgpQw6sLBbLdsDZ+dRntVrPsVgs4cBfgCIgE/iV1Wqt7a8N4dvRFVQBfH2wlm25NbS0u2luc3FPQpqhAAAanklEQVTZ/FTUQwyuHC4vT7y7H0AJqABZ14EhayfqgHa8dYl4q9IxGgb/387TUE/73r2o9u/loZpyKGilfrvyni42lsDxEzGNtZA4ewo2z/ELXQqCIAjCSBuOEatPrVbrb4967U/Al1ar9R2LxbIMeAy4cRiuJQzBO+sL/I8lSaalXdlYd/XWEppbnYQFGzEYZM6dnoxOo6OoqpUXPz7ImNggrl2ciU6rxnScoKiyoXvbGZNRi83VxutH3kQd0I6vKRpdTQ6BZg1h/7+9O4+vsrrzOP65S/aEbIRAAiGsB4hsoqyKICq4gKhTnXZ0tOPS2jpTl9aOOi5t7bSd2rHzqtZuWrV2bBnFVotKXXBBBcENZDmA7ItAQvblZrnP/PHcxCCLJLnJzb33+/6HPMu99/w49z7P7znnPOf5grvRWmpqqF61ksq3lhPYvq1tvb9vX5KGTSBt3ATSx4/Hn5Xdti0xKwOOclegiIhITwpHYjXWGPNdIAVYZa1dApwP/DC0/S3gsTB8jnTQK+/t5t0N+7n5sgl4PVAfcOeJ8nhwkyp/AH//7fiyDrI66IOaJrzNdTz/uodJ/cax86NC9pUF2VdWx4p1boPjfd+YTkqSnx898T7nTS1iakn/ts97f9NBAPKykrlufgmPbniMPbX7KEoYzczR53LqRf3wejx4vUe2jDnBIPV2I5VvvkHNB+/hNDWB10vqmBLSJ04ifeLJ+LOO/0w7ERGRSPM4ztHvxDpRxpjJ1tp3jTE+4A3gNuAlIN9aW2GM8QNNQIK1tvlo79Hc3OL4v+B5ZdIxDY3NfOm2JQCMLs5hw/ZDAJw3vZi9hypZe/Bj/AM3401qwAl68XiDOM1+grWZpKY3E/C5A9CDDSngcXACKTgNaYwdMoBkbworVtfiNCfw0Lfn0i8tFyfo5arvL8Xj8fD7O8/h2U1LWfTxc5T0G8lds2485hiupupqPn1hKfuWvEBThXs3YUphAf3OmkPeGTNJytXElCIi0uscc+xMl1usrLXvhv5tMca8CcwGDgAZQAXQByg/VlIFUF5ed6xNYXOsCSRj1VvrD7T93ZpUAQwb7GV5419J7FOH43g4e9As3ngpnYqaAAS9gIdGHGbPcXh730r8KQFSkxKoSSqHPuVsqN0NQFLoqTE3vbACn8fHiAxDrT+VScMKeWbtUp7ZsoSspEwuHXYxpaU1R5SvqayUildfoeK1V3ECATxJyWTOPIOMU6eQMmo0Ho+HqiAn3L0Xb/WreGNXPMUKijfWxWq8eXkZx9zWpcTKGDMKmGGtfTi0agSwGFgCTAN2ATNCy9JDgo7Dw89+fMT61JxKntj+ME3eAC2lBfzD6HmcNWIUS597HYJui+ENF4/lgcVrWfaKB5jGpJP6c83ZY6isr+HmXy8DXxPepDo8yXXgayEv10tSZjUbq9aTNAo+ZjUfb4YUfzJXjrmMvimHtzg17NxB2V8WU7t2DTgOvqwsshcsJPP0mfhS9Sw6ERGJbl1tsaoCLjDGFOC2TO0CngReAH5ijBkJDAO+3cXPkQ7YtNPtUsvpk0RjU5CaQD3+wi0wYAeBFvjSiAuZOWsa3tBjXQKNLW2vPXlkHh5P23RQ5PRxB5pnpqQzNGcAn+ytoqX2s7FO+3YBOHiz9+NNrWbC6DRG9hvEKfkTyErKbNsvsGcPh5Y8R/WqleA4JBUPIWvmLDImT8GbnNy9/yEiIiI9pEuJlbV2L3DRUTYdAq7tyntLx1XWNvLYCxv5cEspAF+ZM4LH31lOUr81eJPryErK4iujLmFMrjnsdVPG5LNy/X5uu9ydX+qOK07h3sdXAzB+WN+2/W66dAKllfVs2FHOrAmF/MfvVlJW1QB4CJb3J1jen29ccWbb/o7j0LD1Ew69sMR9Vh+QWFBA30suJW3ceM2ELiIiMUcThEahoOMcNufUYy9u5PUP9x6+kz/AqsALNBWtwwtMzZ/MZaMuJNGXcMT7fW1BCV9bUNK2PLSgD7dcNoH95XUMK/ys1Sk12U9RcgZF+W7f8oLTivn98xvbtv/zvM8StoadOyh75mm3yw9IGlREzvwL3ZnQlVCJiEiMUmLVy9U2NPHzRR8xeXQ+44bnctuv3dkxr50/huL+Gdzx25Xt9nbwpNSQN/QA9ek7WFPayKCMQi4buZAhmR17+HDJkBxKhhz/jrzTxxXQ2BTkjy9tcpfH5FG7dg0Vb7zmtlA5DikjRpK7YCGpo8d06PNFRESikRKrXu7FlTv5ZG8Vn+ytwuf7rKXnkSUbaAmGBkIlNJAyaBsZ+eVUt1RRDeSmZHNm4bnMHDgNr6d7ngnoBIOMT6nFVqynqLGUbTcvItjgTsKfVDyE3AULSRs7Ti1UIiISN5RY9XKVtY1tfz/x901tf7cmVb6cfSQMWQe+Zpo9KUzqN56S3FHMKzmN8kP1YS9PsLGRunVrqV27hpo1H9FSUcFZoW3enBz6TD+NjFOnkDx8uBIqERGJO0qsermGwNGn//KkVpIwcDO+rFISvYksHL6Q0wqm4PO60yb4feGrWsdxqN+4gaqV71Dz/nsE69x5x7zp6fSZcTqpo0aTPGw4CXl5SqZERCSuKbHq5Q5VB/AA82cU8+xb2wGHoVO3si+4GYDhWUO4ePgFDO4zKKyfG2xqon6TpW7DempWr6Kp1H1cjS8zk+y580ifdCrJRYPx+PUVEhERaaWzYi+249Nqtu6tYsTATOZNKaKiNkBC4WbePriZpJYszimYy9wx4b3LrmHbVirffIPq91YRrHUfquxNTiZjylQyTz+DlJEGj7d7xmyJiIhEOyVWvUzQcbjnkXfxejzUNrjdgGdMKCA50c8pp8BDa5aTkZjObafeQGZSn7B8phMMUrt2DeUvPk/9Zncclz87mz5Tp5M2diwpw0dqEk8REZEToMSql9m6p4rdB2vbllOS/Ew/aQAH6g7y+3VP4sHDN8dfE5akymlupvq9VRx67lkaP90HQOroMWTNOdudwFMtUyIiIh2ixKqXeXfj/sOWxw3LxXEcnt26lIaWBhYOO49BGQVd+gzHcahbt5bSxU8T2LkDj99PxtRpZJ81l+Ti4i69t4iISDxTYtWLtASDvLx692Hr8rNTWL53BR8cWENBWn/mFM3s0mfUb93KgT88SmDXTgAyJk8h98KLSMzv36X3FRERESVWHdbY1EKC33vMAeNBx+Huh99lT2ktP/7aVPplp57we6/aeAAAn9fD96+ezJ9f3cKYkSk8uvllErwJfH3cVZ2e7DPYUE/p4qepWPYKOA7pEyeRc/4FJBcP6dT7iYiIyJGUWHXAwYp6bv/NClqCDj+8dgoDctOO2Ke0soE9pe4YqX//9QoevGkmKUkn9t9cWuHOWr5gRjEDctO44ZISfvHhb6lsrOa84rPITTn+I2aOJtjURNXbyyl7ZjEtNdX4c3PJv/JfSBtT8sUvFhERkQ5RYtUBn+ytbJvx/I7fruSn108nOyMJr9fDzv3VbN5dSb/slMNe89GWUqaWuN1srfvk56QwenA2vnaDw6tqG3l59S4S/V5mji+gtL6MJzcuZkvFNk7KHc35Q8/pUFmb6+oo+9uzVLzyMi3VVXiSksiZfyG558/X3FMiIiLdRGfYDqiubTps+TsPvc1p4wbw1XNH8cDitZRWNjB5dD8A0pL91DY089oHe9i6r4pzpwzmnkdX4kmqx5NUiye5nmvmTGbyoDE0tzh879FVVNU1cfapA3mn9C2Wbn+FxmATo3NGcvVJl3eonBXLXmHb356lqbISb2oaWXPOJvuceSTk5obt/0JERESOpMSqA+qO8niZ5Wv2UVKcQ2llAyQEWL13HYkjdpGQU0Nyc4DtdRnsaGzkzdf8JE+qweMNtr328S0beG1/IQODE6loqsCbXcO29DUs37qX9IQ0Lhp+PtMKJpPg7Vg1Vb75Bi2BADkXzCf7rLn40tO7HLuIiIh8MSVWJ8hxHCpqAgBcMH0wf3t7R+sWfvvqmyQM24kv51Nax7T7fekQ8OPLqMBp8UFiPU5jMqkt+RRm9GP95gZ82fvZyR52sofkce7r9tTCpH7judQsJD3hyDFcJ6Lo9jvp2zedstCYLREREekZSqxO0Gsf7OH1D/cCMCDHTXi86eUkFG3Em14JQLAhleayART3KeKWc8/m+v9+HTxBcLyAm3E9+N3Z7Cur484VK2kpK8CTVkFa//00Bps5e+JQpheewoC0/C6V1eP3401IAJRYiYiI9CRNrX0CDlU18Ie/b2pbHpCbin/AVhJHrcKbXknLoXwCG08hsOZ0mveMYGzeaJIS/Zw2roD05GSum+/egZedkYTX46GwbxpzTh4IgFObRc0nhvSyk7lk5PldTqpEREQkctRi9QU+PVTH7b9Z0bZ8xdyRvFX+EgmDNuE0JxDYMoFgRT9mTSzk5BF9efqNrcya4M6M/tVzR+E5z22pKuibdti0C/90zkjmThnErQ+9A8CE4X17MCoRERHpDkqsjqOiJtCWVPXLSuF7V09mQ/l6nvp4JcH6VAIbJzMwqy+7qeGKc0bi8Xg4aehnd961n0S0KD/jiPfP7ZNMSXE2KckJ/NPZI7s/IBEREelWSqyOwnEcWoIONz/wFgCZ6Yn86GtTOdRQzh82LMKDh0uKLiN/dD9GFWUTDDrHnIn9eDweD7f848RwF19EREQiRInV55RVNvCfT7xHeXWgbd2Pr5tGU7CZRZv+QkNLgEtGzOfMQaMjWEoRERHpjTR4/XMWLdtyWFI15+SBJCR4WLTpL3xctpGijELOKJwewRKKiIhIbxU3LVY1dY3UB5pxHId9ZXUMK8w8Yp9dB2raHoSckuTj/GnFnDd1ME9vfo539q0iPzWPb038Oj6vr6eLLyIiIlEgLhIrx3H48p0vHLbuaA9RPlBeB8DYobncdOl4GpoD/GbNY3xUuo6+yTn864RrSfYn9Vi5RUREJLrERVfg0QaW3/3IqrZECtzk6/kVOwGYMCaNZbuWc+/Kn/FR6ToK0wfw9fFfJTs5q8fKLCIiItEnLlqsAB6/ey7//L2lbcvNLUGeeu0TrltQwqJlW1i/vZx91QdIGfsRTx14EQ6ABw8zC6exYNg8UvwpESy9iIiIRIO4Sayy+yTz8Hdns2jZFpa+uwuA1fYgFU9+wJbd7iNpPKnNZGRAYcYIxuWVMCFvLJlJR84/JSIiInI0cZNYgdslOG/K4LbECmhLqgCcukx+eNrt+Lxx0UMqIiIiYRZXiRVAZloid155Cj94bHXbumEFfbj0zOEASqpERESk0+IusQIYMqAPV5wzkg82lzL9pP5MLekf6SKJiIhIDOh0YmWMGQbcC7wPDATKrLXfN8bcA8xqt+sPrbUvdaWQ3WH2yQOZffLASBdDREREYkhXWqxygD9Za/8KYIxZb4xZAmCtnRWGsomIiIhElU4nVtbaVZ9b5QVqAYwxdwABwAf8wlpbh4iIiEiM8ziO0+U3McZcBMyy1n7LGFMCbLfW1hpjvgFMstZefbzXNze3OH6/HhMjIiIiUeHImcdDujx43RgzG5gN3AhgrV3XbvOrwHe+6D3Ky7u/QSsvL4ODB6u7/XN6C8Ub2xRv7IqnWEHxxrpYjTcv79hzXHZpbgFjzPnAXOBbQH9jzDRjzE/b7TIC2NKVzxARERGJFl25K3AS8GdgNbAMSAMeBJqNMf8DHADGAt8MQzlFREREer2uDF5/D0gPY1lEREREopqmGRcREREJEyVWIiIiImGixEpEREQkTJRYiYiIiIRJWCYIFRERERG1WImIiIiEjRIrERERkTBRYiUiIiISJkqsRERERMJEiZWIiIhImCixEhEREQkTJVYiIiIiYaLESkREpJsYY3SejTMxVeHGmIJIl0G6R7zVrTFmiDEm3RjjiXRZeoIxZmi7v2M+ZmPMGGPMkEiXo6cY18XGmIRIl6UnGGPGGWOeMsb0sdYGI12e7hQ6VqXFw+/2RPkjXYBwMMakARcCs40xO4BN1tpFxhiPtTamppY3xiQD/wO8Za193BjjjeUfrjEmFbgA+JIxZjPwsrX21QgXq9sYY9KBecCXgf3AauCRiBaqmxljzgUeMcbcaa39He4FX0uEi9UtjDFZwB3ADOAGYFssHqdaGWNSgHOB04B3gEygNKKF6kah+v134CTAASYDL0e0UN0kdKy6ALgIKAfeJcaPVScqVlqsFgC5wC3AOuA7xpgJ1lonBrPoQUAG8HNjjC/Gk6qTgAeB3cC3gFRgYqw2rRtjioH/BuqAa4GdwMDQtlj7HrfvIgkCrwJXGmMyrbUtsVjHxpgRwP8CG4HTgR3GmETAF9oec3WMm1g0WWtvBtYCzaGLw5iL1xgzA1gJfApcBjwNbA1ti7VYvbgXBpnAdcB6ICfW4uysqD54GWM8oQqeDayz1lYBzwF/B34KECtXgu1ONHnW2q8Am3FPwrHch78dqAbetdbuxT0hFcVwMvkpUGGtfd5aewhIB2qMMbmx8j1uFWqlaa3H4cBi3BPvt40xObhJdKzZBbyH23LzVeBfgfuBb0PsHKvAPSaFTrKzgCZjzMXApcDduBdLMRVvyIfAr6y1P7fW1gIDgIUQk7H6cFvWd1lrK4FEIA8YF9FS9RJRd0IO9edeF+q7dkIH593AjwGstc3ALwGfMWZqJMvaVZ+LtfUk9HHo338BbjDGDLXWBmPhSqF9vADW2hrgrlCdAmwB3gjtmx+hYobNUeJtAH4U2jYeyAaSgL8YYy4JrY/aev78b9cY4wttKsW9GFoOXAHcGqr7mIkX2ur3Vdzf7uvW2nuAJcA5xphZEStomHz+eBVKJvbiDl3Ya639Pu6xebIx5qKIFjYMjlK/tbjxtVqGe3EY1d9jOGqsTcBfgX80xjwD9MG9cPiTMeYroddEdcxdEVWJVajZ/FbgYtwxVa3+C+hvjPlSaLkcWAFU9WwJw+dYsVprq0JdgOtwuxXuD23q2/OlDJ/jxFvRbrfJwMuhLpUberaE4XWceMtDf26w1n7TWvsj4G9AQWh7VF75Hi1ea23rOKqzgMuBIbiJR7ExZmxon5iJF8Bauwz4jbV2c2jVa8AHQPPn3yOaHOfY/CiQA0wDCMX9R6Ls3PN5x6nfQLvdhgMTQ+uj8nsMx431fuB23GPVXdbaB4CHcFuuojrmroq2L3cisAZ3MOC01rtqQleCtwE/McaMBE7GPRFFbWLFMWINXQW0fmGvBOYbY/4XiPYWnOPF29rdOQj3h/1LoCrKu0CPFW9rTINCyzOASbgXCtHsWPEm4SYWe4CfhLbPBs6MxfoFsNZuCo0fBBgLFOG27ESzYx2bm4DvADcbYwaEvs9jcMfkRLPjHq9CngXSQoO8o9kxv8vAeOAmAGPMabgXv2/3eAl7GY/j9N6k0hgzCjdLfhlYb62tCXUfjAeuD627v93+1+Bmy37g4dC4nKjQiViTca+GLgcesNZuiECxO60j8YYOVjNwu00eBX5trY2qA3Mn6vdWYALwEvCStXZ3BIrdaR2s3wxrbXXoDrI5uFfAn0Sq7J3Rifr9ATAUt2t7SSzXb2j/m3DHDLYAj1lr90Sg2J3W0XhDr5kCDAaebtc62+t1om7/hHvDzWbg8Wir2+7Q6xKr0KBWxxhzPW6/7TbgDCDNWntVu/3+DfeW1vujLalo1ZVYQ1fzqa1jUaJBF+MdBYy11v5fz5e8c7oYbz5QbK1d2fMl75yu/nZNlE070MX6zQMGWWvf7/mSd04Y6tcXZQmGzkUn9l1OBvpYaw/0fMl7p17V1B5qmUgJLWYBL1prFwF3AZcYY85pt/v/AY3Az4wx3wz1A0eNrsYaGhwaVUkVnY832Vq7MdqSKjofb5K1dn+0JVV0PN772v92oy2pomv1ezDakiq6eGyOtqQKnYtO9LvcoKTqcL0msTLGTMOdPuA+Y0wJbrY8GMBaW4Z7m+597V7iwx1X9AFu82Njz5a48+IpVghLvA09W+KuCUO8AaJIF+L9kPj8PsdL/cbr8Spq4o2373JPiXhXYGhg3z24/bOLgN/hVloFcIO1dlRovyTgGeC71tq1xpi+QHI0jU2Ip1hB8aJ4Fa/ijRrxFG88xRoJvaHFysG9I+hl695q/j1gsnVv3Ww2xtwY2i8Xd4LI9QDW2tIorNx4ihUUr+J1KV7FGw3iKd54irXH9YZnBdYBT1lrd7Vb907o3zuBecaYn+JOnfBeNPXTH0U8xQqKFxSv4o1eijd2442nWHtcxBOr0IDV9pU7GGi9syIR+E/cKRS2hfp8o1Y8xQqKF8WreKOY4o3deOMp1kiIeGJ1FAOAQ8aYJ4EA8Hdr7Y4Il6m7xFOsoHgVb2xRvIo3VsRTrN0u4oPX2zPG9MedtXUtsMha+8cIF6nbxFOsoHgVb2xRvIo3VsRTrD2lt7VYBYGHgfvi4DbOeIoVFG+sU7yxTfHGrniKtUf0qhYrERERkWjWG6ZbEBEREYkJSqxEREREwkSJlYiIiEiYKLESERERCRMlViIiIiJh0tumWxAROSZjzAzgXmAM7sNhs4F04PfW2qe+4LVXAbOstVd1czFFJI6pxUpEooa19i3gMdxHbXzdWnsZcA1wpzHmpsiWTkRELVYiEuWstfuMMbcCTxtjFgMPAuuAXGC1tfZXxpgRwOVAoTHmAeA5a+1SY8y/ASOBeiALuMlaWxOZSEQkFiixEpFYsApIA/oBP7PWLgMwxqwxxjxrrd1sjHkCtyvwhtC2OcACa+1ZoeV7gVuBuyISgYjEBCVWIhJLvMAsY8yXgTogBxgG7D3KvucCfY0xvwot9wX29UgpRSRmKbESkVhwKlALnAlMtNYuADDGTAB8x3iNB3jHWnt9aF8PkNoDZRWRGKbB6yIS1Ywx/YH/Au7GHVd1KLTeCwxst2sD4DPGeIwxVwIvALONMa0XmAuBG3us4CISk/QQZhGJGsaYacAPgJOAp3CnW8gE/mCt/bMxpgj4E7AZKAMuBNYAVwMpwNPAFuBVa+0jxpgbgenALiAZuMVa29CzUYlILFFiJSIiIhIm6goUERERCRMlViIiIiJhosRKREREJEyUWImIiIiEiRIrERERkTBRYiUiIiISJkqsRERERMLk/wFqnlg0mPVYogAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_plot_01.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>SMA1</th>\n",
       "      <th>SMA2</th>\n",
       "      <th>Position</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-06-25</th>\n",
       "      <td>182.17</td>\n",
       "      <td>185.606190</td>\n",
       "      <td>168.265556</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-26</th>\n",
       "      <td>184.43</td>\n",
       "      <td>186.087381</td>\n",
       "      <td>168.418770</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-27</th>\n",
       "      <td>184.16</td>\n",
       "      <td>186.607381</td>\n",
       "      <td>168.579206</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-28</th>\n",
       "      <td>185.50</td>\n",
       "      <td>187.089286</td>\n",
       "      <td>168.736627</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-29</th>\n",
       "      <td>185.11</td>\n",
       "      <td>187.470476</td>\n",
       "      <td>168.901032</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AAPL.O        SMA1        SMA2  Position\n",
       "Date                                                \n",
       "2018-06-25  182.17  185.606190  168.265556         1\n",
       "2018-06-26  184.43  186.087381  168.418770         1\n",
       "2018-06-27  184.16  186.607381  168.579206         1\n",
       "2018-06-28  185.50  187.089286  168.736627         1\n",
       "2018-06-29  185.11  187.470476  168.901032         1"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Cj6rQTAxRmWwv3k+4JYyrR/++K2+5s2wCBiuKYnE3654OLHYvQWtXVbXhTNPXA55+eu6+fiZVVb92F40AUjpaIQn4hBDC50hQIzpHfnE1Br2OhKhAMvIqPOX7DxdRVObqnuZvMWC15JIa9gPmGCuqu9tfvGE4qb8OZ9Dpu9mRv4fAagPgmoTZbHJ14dqZv5dPj67BPEKP7fCJ7E4pxDQ4AwBHQSJmowVCMzEP24sTuHzURUT5R3bb/R8vd2buNmCRoij5wG5VVb9TFOVfQBHwDICiKCcBh1RVrWhweB7whKIok4AE4BNVVZtd6OJYSMAnhBA+SibiFh1V63BiMurxM3v3sa8L9gBGj/Bnv2E/OrMVR1Esf5w2i9igKHburCVVSyexYhYlfp9gj0yGlBhAT25FEW/vW8bW3N8AMESAxVyDvSARY2w6mt2IoyQKp8mfEUwjyfYbZw2YxUnRY+krVFVdC6xtVPZAo+c7gZ2NyvYAnZ7GlGlZhBDCx0irpegsdoeG0aAn6Whpi/voB+xF71dFbfZQ9OmnMC3xZIaFDia32LV6xqadJZwcMwErFVhO2Iw+LJe0gK/ZmvsbCYFxLBhxM86qYPRBpZiHuCZ4tqWOw8/gj9MJCYylZudsJkWe2i337Ksk4BNCCOHzJNl5fOwOJ0ZDy98gJo2KJKUsFWd1APaMUV5Z5avOHAHAiUMj+P3ICwnW4tAHlWIZtQOrroLpiVN58NS7GRCcgPXAqdSmK9jzE7AdGY2zJAY/swGHU/PMw9fcGryi/aRJt5tUVlZwySVzePnlNxg9eozXtttuW8DMmbOZN+9aT9n77/+P1157mfnzb0Cv15OamsI111xHYuIAFi9exJYtv3LXXfdy9tnntXjNgoJ8PvjgHQIDXXMVlZaW8Ic/zCc+PqFrblII0btIm67oIIejfpWM5hiDyrE6bBiq4gEdkaF+nm3hwRaMBj1VNbUEmPxRbOfzS9peZp5hYkBYNDMSp2HQGzAZHeAwY88Z6nXuAD8T5VW1OOsmXpbUdYdIhq+bfPvt10yfPpNVqz71Kk9LSyU+PoFVqz7zKr/mmj8CMH/+DfzpT7dxxRXz+Pe/nyM8PII5cy4gKiq61WCvpqaG++67i6uuuoYFC25hwYJbuP76m3j44fupqpIpcHydr68VLFqnk4U2WiS/Ge1XUV1LYZmVssr6pdAmjYr22iffvBeARP9BAMRFBHi26XQ6QgPNlLqPdzrBWRbFeQPPZ/bA6Rj0rn6BJmPzoUiQvwmHU6sP+NqR4astyKdi98429+uP+k2Gb/n3yWw92NIUOMfn1NExXOlOWbfl6NF07r57IddeewV33nkvAQGuX4rvvvuW++9/mDvuuInfftvGpEmnNHt8QUEBoaFh7a7b+vXfM3DgIGJj4zxlERGRjBw5ivXrv2fOnAtaOVoI0bdJWCM67rOfXEuY2exOrp8zmg+/S2L+uaO4YvZwVm04zK6MI+Q4UxkcPJAFp5zFSt1hrpzt/ZkYGmTmSE45mtagabZRps7UQgaxrgm3bqUOQytNywD20lKOPvcvaouLGLn4DXQGWcyhoX4T8PWkffv2Mn78RMLDI5gy5TTWrv2aiy++DKvVil6vJyAggMsuu5JVqz5rEvC9++5/0el01NRU89BDj7X7mjk52URGRjUpj4iI5OjRjA7fkxCiD5AUn+iAhsuqzZiQwIwJru5AocBNF4zh28O5rEqD6YlTiQwJYMHcE5qcIzTQjMOpkZxZisPhDvgaBW5GY9NA7rzJA8nMrwTql1xrKTAEcJSXk/7UE9iLiwk//3cS7DWj3wR8V545ot3ZuM72/fff4ufnT3LyIUwmE59//ikXX3wZP/ywjpKSYpYuXYLNZmPz5k2UlJQQFlafyZs//wZPNvBYxMXFk5SkNikvKirkxBPHdeh+hBB9g8R7oiPsDdbAbayitpIfMn9Gr9MzPqppoFcnv8Q1Uvfp937zNAc3Hnxh0DcN5K6cPYJFK3YDUFPrCviMLTT92svLyHzhWezFxYSdeTZRl/aJiZm7Xb8J+HpKZWUFQUHB3HDDnzxlV155MQcPHiAp6RALF9avTFhcXMSaNV/whz9c29ypWrV8+QdceeXVZGVlkpCQyMyZZ/LBB++Qm5vjadYtKirk4MH93HPP/R2/MR+h+Vindh+7HXGcPC1m8oaoJy/FMbO6A63mbM7ZTrmtgguGnkuQObDF/YL868OMWncA2VKfvYZ0Op2nz15rGT7Nbifvnf9hzcggePJUouddja6ZAFJIwNelbDYbzz77NCaTyVN25MhhQkJC+dOfriM8PIIrrphHXFw8VmsN1dXVfPrpcoYNG05ammsVlQ8+eIff//4qwsPDASguLuabb76isLCAt99+03PezMyjFBcXc/vtN/HRRyvx8/PjuecW8eGH73pG6VZUVPDss/8mKCioG1+F3snnB3v5+v0Jcbzkd6PdBkQHceBIMdecM6rJtu25u9Dr9JyROK3Vc1x3/mgeeeNXxg2LpMZmRwdYTK03t86YEA+AwR3g1QWejUcLa5pGztI3qNixHcvgIcTddLMEe62QgK8Lmc1mnnji715lgwcP4c0332myr8Xix5NPPuN5PmXKNK9pWuqEh4fz8MOPt3jNlSvXeB5HR8dw9933HU/VhRA+QJJaoiPKq1yja08a4d0ffEvOb6SXH+WECKXV7B5AWJAZcH3JrrE5sJgN6Fr5xv3kTVNIjHKds27+v6KyGq/nAE6rlezXX6Vyz278hg4j8Z6FEuy1QV4dIYTwMTqZl0V0grrpVEICTV7lm7K3AXDFqIvaPEfd3HlOp4bV5miyRFtjdcEewPhhrjVzK2vsmIx6z/valp1F2kN/cQV7w0cQf/tdGKTlqk2S4RNCCCH6CU3TKKu0ERpkaXPfsiob/hYjJmN9kGZz1JJaepjEoHhiAqJbOdqlrh+eU9OosdkJ8DM1u58yMIzicqtX2Ukj6zOLIQGuTGHl/n1kv/4qzqoqQmefRfTvL0fv599mPYQEfEII4Xukn1ozJN0JsG7bUT78LokHr56IMii81X3LK22EBJq9yvYXqdiddkaHj2zX9TwBn1OjxuYgPMSv2f0euHpikzJzg75+hWU1lP68nrwP30dzOIiedzXhZ5/brjoIF2nSFUIIH6VJkCMa+fC7JAA27cttdT+nU6O8upbQgPqMnFNz8mnSF+h1eqbEn9yu6+l1OnQ6OJhegs3uxL+FJl2dTtekb59nKTVNY0rxXnLfeRt0euL/dKsEe8dBMnyin5IUiPBdnne3xHtN9Off/LolysCVMWtNldWOpkGgf33Al1ySRmFNEacnTCYxKL7d1204O5Cf+djCjtDacs4q2Maoygz0AQEk/vl+/IcNO6ZzCBcJ+IQQwtf4/LxD4nhU1tSvnJGaVUqt3dninHh2R9M58w6XpQMwJkI57jq0NWijocIvVnHrkZXo0CgPjWH8/3sIU0TEcV+7v2tXwKcoShzwFDBBVdVT3WU64C73LkOAMFVVb3Rv+wsQAoQD36qquqqT692nrFy5guTkJMLDI8jKyiQqKppx48bz5ptLsFgsLFnyX6/9H3/8YVJTk1mw4BZmzz4bAKfTyRVXXMTddy9k5swzPfs6nU5WrfqMN998nUWLXmPYsJ5ZTUQI0ftIgk9omsaPOzJZuSGNOy+rX2Wp2urg7kU/8++7pnv1lavjWQbN3Qev2l7D+qMb0aFjSMjA466PpR0Bn2a3k/PfpZRv3oQxPJzCU89hwiXnYjrG7KDw1t5XbzrwOXBSg7JrgRJVVd8BUBRlvPv/KcBsVVV/pyiKCdivKMpPqqqWdGK9+4zKygrefPN1Vq9ei06nw2638+KL/2L69JmsX/8Dhw+nsmnTBqZNmw5AamoyOTnZDBky1BPsAWzevJEJEyby+eefegV8ycmHOPHEsfj5Nd8RVgjR/0iTrqizaMVudqUUAvDtFtc66nERAeQUVWG1OdiVUsipo2O8jtE0DbvTleGrW/ZsW+5OSqylnD1oJuF+YRyvtjJ8tpwcspcsxpqRjmXgQOJvvZPhsbHHfT1Rr10Bn6qqKxRFmdWo+Brga0VR7gbigLplHy4ANrmPq1UU5QAwA+jRLN+nyV+wI29Pp55zYsw4LhtxQav7mExmNE1j2bL3mTPnAsLCwvjLXx7xbL/xxptZuvQNT8D3xRefM3fuRWzd+qvXebZv38aDDz7KlVde5Fk+DWDUqNGdek/9ja+tPOVrS8WJ4yQtuk3011+NumAPYPuhfABGDw4np6gKgGqrvckxD76+yVNuMOhwOB38nLkJHTpmD5zeofq01IfPXlpK/oqPKN+0EYDAiZOIX3AzeklmdJqOjNIdDISoqroIeBtX8GcAYoDyBvuVucv6JbPZzMsvv0Fyssq1117Obbct4NdfN3q2T5s2HZ1Ox4YNP5GUdIhBg4Z4LcUGkJ+fR1xcHBaLhblzL2b16pXdfRtCiD6pn0Y5olWjBoR6Hr+95qDXtlq7g4LSGipr3AGfXsePR38hsyKbk2MnEGYJpSOay/BZj2aQ/tTfKN+0EVNsHLE3LCDxjrsl2OtkHWkQLwM2A6iqekhRlBBgIJAHBDfYL8Rd1qMuG3FBm9m4rjJs2HAee+xJHA4H69f/wKOPPsAnn3zh2b5gwS288cZixo+fwB13/Jm1a7/2Ov7bb9dQUlLC0qVLqK6u5ocf1rFgwS0YjdKf4Xj5ep92X78/0T79NavVqn70y2G1OZotjwz1DqQKSqqJCnNNXlxU5j35sUGvZ2f+XnTouHxk2ytrtKVxH77q1FSO/usfaHY7ERdeTOTcC9HJZ1uX6Mir+h0wDMAd7BmAHOAL4K/uciNwAvBTx6rZd2VnZ/H222/y8MOPYzAYmDFjFs8+6z2R5dSpp/G//y1l2LARTbJ7TqeT0tIS7rjjHk9ZSkoSGzasZ9ass7rlHoQQfUtra5WK/qO5qVfGDo3Abnd6nuvM1Sze8AUBcbnEB8YyxOA9AbJNX05a6RGGhQ4m2Hx8y5cZDTrs7kEgDTN8VYdUsl5+Cc3hIO7GPxFy2unHdX7RPu0dpTsTmA/EK4ryKPA88E/gX4qiPAIMB/6oqmoNsFlRlB8URfkHrlG6C/vrgA2AwMAgyspKWbToeQIDg8jOzuK22+4iKekQKSlJLFv2HvPmXctrry0F4OjRDH755SfS04+wceMGtm/fQlZWJhUVFQQFBVFQUIBer+d//1tKVFQMgwYN5tNPl1NRUcGqVZ9x9tnnM3bsuDZqJYQQwtc1F/BNHx/PqEFhTB4Tw7YMFbOyjVyDA8ogrSydjWzFMjYIzRqAoziWA2xDQ2Ny3KTjrkeAxUhZlWtKmLo+fFUHD5D9+mKcVisx114nwV43aO+gjfXA+kbF1cAtLez/bAfr5TNCQkJ4+unnm9321lvvNykbMGAgf/97/ct32mneHWSjoqJ46aXFXmXXX38T119/UyfUVgjhS6RJt3/7ZU92kzKzyYBBr+fGC0aR9PPH1DgdBFoHctPUORTWlPD5gR8oD8iHgAoM4XmUAxNjxnN6wpTjrkeAn8kT8PmbDdSkHyHr1UU4q6uJ/sM1hM2cfdznFu0nDeVCCOFjdDIvS7/ndGpsOdC0+3yUey3bTdnbqHFWY88eRph2KqPCXXO4rvzcRnVlCTpjLcbYIwyOjOa6MZd3qJtAoJ871NA0TEl7yfjkXTSbjdjrbyR0+ozjPq84NhLwCeGTpA+XEH2dw+nkkx9TmXpiLINig9s+oNGxDV1w2hBmT0wkPNhCqbWcz5K/xGwwQ9EwrIGuwR1VNbXkl9QAfmi1ftQeHsu4QcMwG0zNXKH9xgwJJyWzlDOKdmH/cDcAsTfcROjpHZvipbdTFOVs4DJcA1c1VVX/1mj79cCtQF3b+1JVVd91b7sWmAg4gBRVVZd0tD4S8AkhhI/xZGMkwdenpWWX8/WWdL7eks7ihTMwGvSs3ZZBaKCZqSfEode3/MXO4fT+4ZuNesKDLQDsLdhPrbOWS0fMZc1eIzU21xQsr3++r8l55kwZ1OH7mDsuEr8VbzGiKhN9aBiJt9+J/3DfXhVKUZQA4HXgRFVVrYqifKIoylmqqn7XaNd5qqoebnQbBPNLAAAgAElEQVTsAOB+YKKqqpqiKFsVRfleVdWkjtRJAj4hhPBREu/1bTUNJkVOPlpKdmEVH/+QAkBmfiVXzG45aHI2CvgSowNd57TXsD7TNRfshKixfG9KoqqmlrySavamFQHwyLUnE+hvJD4ysMP34Kio4Ojfn2BEVQlH/GM544F78YuN6/B5+4BpwBFVVevmufkFmItrhpOG7lQUJQcIAF5RVbUIOA/Yrqpq3Q9xEzAH8I2ALzw8AKOx/YsqC9ERdStSmEwGoqOPramkN8sNLgMgONjiU/cljo3d6mqi8/c3yfvAzWJxfdxFRQYR6M509Xazo4OZPWWIV9nVvzuh3cevfv7iZkqDeXHu455n//l/Q9rYv4Oig4n7n2sWin42Drc9i1CsB75UVTVfUZTfAR8DZ7Xz2GPWawK+4uKqnq6C6EfqAr5am538/PI29u47SsuqASgvt/rUfYljU/f3tLqqVt4HbjXulSMKCiuoqrH1cG3a58Znvm9x2ymjY7j9krEtbs8tquLhN37l1NEx3NZgv1d3LWV/ocrT0x8jxBzMvz74jYPp9TOnhQaaefGuzulbl/fRh5Ss/YbgUycT96db0ek7srhX79PGl6k2F6FQVTWtwdPvgVXuFcvygBGNjk3uUGXpRQGfL1u5cgXJyUmEh0eQlZVJVFQ048aN5803l2CxWFiy5L9e+z/++MOkpiazYMEtzJ59NuCagPmKKy7i7rsXMnPmmZ59Fy16HovFj4CAAJKTD3H33fcRGRnVrfcnhOidNGnU9VlB/i0PpNiTWsiLy3cBrqXR6jg1J2ml6UT7RxJidsUiFpN3y9qYweGdUr+yjb9QsvYbjBERxN54k88Fe+2wCRisKIrF3ax7OrBYUZQIwK6qapmiKE8Dj6mqagdGAmmqqjoURfkGuEtRFJ27WXca8HJHK9TvfgLdrbKygjfffJ377nuIBQtu4eGHH6eiopzp02cycuQonE4HmzZt8OyfmppMTk42Q4YM9QR7AJs3b2TChIl8/vmnXuf38/PnllvuYP78Gxg5UuGdd97qtnvry3x9JQIfvz3RBs/PX+K9Jnzld8PhcLa4bc2vRzyPGw7s2JG3m2p7NcNCh3jKGi51dv6UQcw/T+lw3awZGeR/vAyd0UjCnfegN5nbPsjHqKpaBdwGLFIU5Slgt3vAxkPA7e7dcoDX3AtYPIJrgQtUVT0KPAe8qCjK88CbHR2wAf0ow5f/8TLKt23t1HMGn3Iq0VfMa3Ufk8mMpmksW/Y+c+ZcQFhYGH/5yyOe7TfeeDNLl77BtGmuFPoXX3zO3LkXsXXrr17n2b59Gw8++ChXXnkRWVmZJCQkAnDzzbd79tE0DX//gM66PSFEn+UjUU0/5nA60eEds9952Tg27M5mZ3JBk0EZDbmmVnGpC/g0TeOLtG8x6gycNah+7ruGS51d2cogkPZy1trIXPQCjvJyIi68GL9Bgzt8zr5KVdW1wNpGZQ80ePzvVo59D3ivM+sjGb4uZjabefnlN0hOVrn22su57bYF/PrrRs/2adOmo9Pp2LDhJ5KSDjFo0JAm6+nm5+cRFxeHxWJh7tyLWb16ZZPrlJeXs2XLr1x99fwuvychhBBdq6La3iRBO2lUNNeeOwpoOu1KQw2XVKtr0s2uzCWvqoCxUSeQGBTv2R7o17E59hrSNI2CFR9jLy4m7KxziLr40k47t+i4fpPhi75iXpvZuK4ybNhwHnvsSRwOB+vX/8Cjjz7AJ5984dm+YMEtvPHGYsaPn8Add/yZtWu/9jr+22/XUFJSwtKlS6iuruaHH9axYMEtGI2uH19FRQXPP/8MDz/8OCEhod16b0KI3sczDZ806fZZ5ZXeA0vqAre6/1sK+L7/7ajXc71Oh1NzsiJpFQATok/02j4sofM+Myp37aTku7UYIyKJuODCTjuv6ByS4eti2dlZPP30/wFgMBiYMWMWpkb9GaZOPQ2LxcKwYSOaZPecTielpSXcccc9LFhwC/fccx+DBg1mwwbX0sYlJSW88MI/ueOOe0hISOTHHxtP8SNaI5+HwrfJO7xe33otyqq8Az6jwfVxbXD/b3c6OVB4iP/seYd/73iDnzM3YXPU8t63h7yO0+t1ZJRnohYnMzRkEJNixnttVwaFdUp9qw7sJ+u1VwBIuP1OjMEhnXJe0Xn6TYavpwQGBlFWVsqiRc8TGBhEdnYWt912F0lJh0hJSWLZsveYN+9aXnvNNU/R0aMZ/PLLT6SnH2Hjxg1s376FrKxMKioqCAoKoqCgAL1ez//+t5SoqBheeOEZHA4Hf/vbowAEBAQya9ZZPXnLQoieJl34+ry6gG/WSQn8uDOLq88ZCbgydrrAEtKCtvDKriLP/oeKk9mVvw/0g8BZ/9Fu0OvYXbAfgLMGzcSo9/7YD/I3cddl44hwr7F7PGoOHyZ76RvgcBB30834DRl63OcSXUcCvi4WEhLC008/3+y2t956v0nZgAED+fvfn/U8P+007/mQoqKieOmlxa2eQwghoK/ltERDZZW1AJw4NIJrz1PQu9vpS2tLsIzZjFWvcVL0WM4dPJtAUwBv7f2AA0WHMA2qYoR2BgeOFAOgM1fz89FNGPVGxkSMbPZaE0dFH3c9NaeT7Ddew1FSQsTvLiBk6mnHfS7RtaRJVwghfIwOWUu3r6uodgV8Qf4mT7Dn1Jx8kfYVOr1GaPk4/jTuOgaHDCTKP5I/T7qVAC0cY8xRdEO3EzOsAAw20hy/UWmv4uLhc/AzHn8WryWFqz+nNi+XkOkziLrs8k4/v+g8kuETQghfI026fZ7V5loez89c/zG9IXMzOwv2Qk0w5A332t9sMDHIegb7HT+SxiGIAv8oyHBCmCWUmYmdn3mzZqRTtPpzDKFhRF7YBcuyiU4lAZ8QQvgoSfD1TXaHk7XbMoD6iZH3FOxnRdIqjHojQblnUFphb3pgdQjWpGk8uGA4yeWHOFicTKRfBOcPORODvnPXqnfWVJPzP9cqUbF/vB5TZGSnnl90Pgn4RP/ma5+IMg+HoEGCT94PHn3ppSgorZ9Hz2IyoGkaK1PW4NAc/HHMPH7MgmxrCeVVNoID6md9qKyxAzpGRg5GiR7CXM7tsjoWr/0W6+E0Ak+aSOC4CV12HdF5pA+fEL5ImvT6N/n5t6gvLKtY3GDiZH+LgX2FB8mpzGVizHgmx03iYHoJAPcs2sCNz3zPzuQCAKpqavG3GL2WU+sKNYcPU/zNGvQBAcTfdHOfeE2FBHyiGZqmoXXT12GHw9Et1xGif5EP4L6sqNwKwKyJiZiMOt49sBy9Ts/sAdOb3X/Rit0kZ5ZSXl1LoF/XNtxpmkbeB+/grKkh+sp56P38u/R6ovNIwNeF9u/fy5133sytt97I0qVLeP75f/Lii//C6Wx50evmpKcf5q9/fdjzfPnyD7y2L1gwv9MCp6KiQv797+ex25vpHwJs27aFV155qdVzpKYmc/fdt/LVV6ubbCsvL/cq37FjO59++nHHKi2EaFZfasbsz9T0Ymrt9X/Di9wZvokjo9hbeICK2krOSJzG8LAhAEw5IbbJOdb8eoTSChuD44K7tK6lP/5ATWoqgSdNJHT6jLYPEL2GBHxd6IQTxjJx4smMHTueBQtu4b77HiQlJZnNmze2fXADgwYN4Ykn/uF5vnz5h17b33zzHQyGzumQ+9RTf+XKK//QZMWPOqecMpk77rin1XMMGzaCCRMmNrutosI74DvllMmkpx9m69Zfj7/SQggv0sLWN2iaxteb0/nnBzv4z2rX5MiZBZV89nMaAMGBej5PcS21eVr8qZ7j5p+rNDnXjiRXs+6UMU2Dwc5SnZJM3gfvog8MlHVy+6B+M2hj4/cppB7M69RzDhsdw2lnDm97Rze73U5JSQmhoWFUVVXyyisvkZCQSE5ODlOmTOWMM2axfv33bN26hfj4eA4ePMCTTz7Dxx8v46OP3mfFitV8991aKirKWbp0CYMHD8HPz4+XXnqOl19eQnx8Aj///CNbt24mJiaWzMxM7rrrz6SmpvDcc88wbtwETCYj+/bt5d57/8Lo0Sd41e/o0QyKiopISEgEYPHiRaxb9w0XXXQp+/fvJTFxIHq9DlU9yCuvvIHNZuOZZ54kPDycoKBgvvtuLVOmTOWuuxYCcPDgfpKTD7F//z7+/Of7GT36BFat+oycnGyWLl3ClCmnMXbsOE4//Qw+++wTTj11auf9cNrJ1xIgvnY/QviyX/fnsvyHZAC2qfkALFtXvzRaVm0quVV5nBY/mQHBCZ5yf0vLX/DHD++a0bKOigqyl7wGmkb8LbdjGTioS64juk6/Cfh60t69u1m6dAllZaVcd92NnHDCWF5//RUGDBjE1VfPx2azcdVVlzBhwiS+/vpLZsyYzZw5F7Bnzy4ArrhiHh995FpR46yzzuG11xaxYMEtnvMvW+baVlZWxgsv/Ivlyz/HZDLx3ntv8+67b3PLLXdwxhkzqa2t5dZb7+T779exZs0XTQK+tLQUoqPrZ1y//fa7WbFiGZdddiXz599AamoyQUHB/P3vTwCwevVKAgICuOuuhTidTlavXsnll8/zHB8YGMQtt9zBDz/UX++iiy5lz55dXvWPioohLS2lc190IUS39cUVx2dPSqHX8+Sjpej19Q1vaqkKwMwB3nPotTZIwmzq3OlX6pT8+D32okLCzjyLgDEntH2A6HX6TcB32pnDjykb15nqmnQbSklJ4oILXBNVms1mgoODyczM4M477+W9995mxYqPmDbtdMaOHd/uEVCZmRmEhIR4mmMHDBjIl1+u8mwf6P5GFhYWRlVVVZPjbbbaJk3D4eERhIS4FsEeOVIhOzvLsy0tLZUBAwYCoNfriY9P8Dq2bpsro9n0enWMRiNWq7Vd99iZfLnZSyed9vs1X35v+5K64GzUgFAOHS3lhx2Z7El1BYF3zx/C20nrCLOEkhgU3+I5nr5lKslHS1n65YEuq2fN4TSK1nyJ3t+fqMsul1G5fZT04eshI0aMIjPzKAA2m43y8nIGDBhEWloqDz74KEuW/Jdt27Zw6JDa5Fi9Xo+maRw6dNCrPDFxIGVlZdTWupbkycjIYMSIUZ7tbf2SxsbGUlZW5lXW2jFDhw4lIyMdAKfT6RUMtnRsw2+vSUmueysrKyM2Nq7VugkhjoUsrdYX2NwDNeaf5+qTt2lfjmuDzsk3Waupddq5bMQFrf4dDvY3c9rYOGaelMD1c0Z3ST0LVn6GZrUSc/V8GZXbh7WZ4VMUJQ54CpigquqpjbZdA7wHBKuqWuEuOxu4DMgDNFVV/9bpte4jDh7cz65dO6itreXHH79j1qyzPNvmz7+el19+kbfffpPc3FwWLnyA4OBg9u3bw759e/Dz82Po0OEMGzacTz/9mIqKCtau/Zpzzjmf006bziuvvITT6aSgoIDc3BxWrvyE2267i4ULH+Cll54lOjqGnJxs7r57IenpR9i1awepqclMnjyNb775ipSUJA4e3O/VrDtmzImUlBRjtVqxWCysXr2SiooKli17j3nzrgXgs88+Jjc3h02bfuGCCy7h6af/j5deeo7o6GhCQ0PR6XStXm/EiFGYzWZefvkFhgwZxsiRCvv27WbWrDO7/ecjhK+SBEzvpmkazy3byYEjxQCEBJobbiVm0l7Sy7OYGDOek2Obn9T4oWsmkV1YSYB7GpY/nt81wV7Frp1U7d2N3/ARhEzr/OXZRPfRtdXHQ1GUywEr8FdVVU9pUD4GuBZ4BHfApyhKALAbOFFVVauiKJ8Ai1VV/a6tiuTnl8t30V5gy5Zf+e23bdx6651t7ltVVUV2dhbDh48AYP78K3nrrfdbHOHbnJycHF57bRGPPvq3YzquM7z+zx+JTQzl0mubH1HcF6l7c/j+i4PMmqMwZkLLzUDCt5WVVPP+65tRxsVx5tyuCQT6mq8/3UvaoQJuuOd0/Py7929NY7tTCnjp492e56/dN5Pbnl8PODEN3YcxOpORYcO4edx1BJgCeqyeTquVtIfux1ldTeKf7yNg9Jgeq0tvFB0d3Ke+WrWZ4VNVdYWiKLMalrkDuweAW3AFfHWmAUdUVa3rkPULMBdoM+ATvcPkyVOJj0/wZPlaY7VaWbx4EZMmnUxRUSF//OOCYw7aamqqeeyx/8No7KnupD72PcPHbkd0kAzaqNeLXoqGwV5IgAmzUc/CP4zh5S0fYozMIcQYxg0nXt2jwZ7mdJL77ts4ysuJmHuhBHs+4Hg/Zf8OPKmqqk1RvOYDigHKGzwvc5eJPmRgO4fbh4eH8/zzizp0rSFDhnboeCGE6Au2q3m8+tleRg0I9Sr/+81T0el0rC/+CmNkDhHmKB6Zehf+xp7rK6dpGkVffUH5r5swJyQSfs55PVYX0XmOOeBTFGUgEA5c2SDYW6goyle4+u01nOY7xF0mhBCim/WipFav0VP9G1/9bC8Ah46WesrmnTmCQD8Ta4/8yP4ilcEhA7l30m2Y9D07gUbJ2m8pXPkp+oBABiz8C4agoB6tj+gcx/yuUlU1A7i+7rmiKE8DLzTowzdYURSLu1n3dGBxZ1VWCCFE2zyjOiXi67XmThvMuZMH4dSc/JDxM34GCwtOvLbng73v15H/8TIMwcEMfOBhjGFhPVof0XnanJZFUZSZwHwgXlGURxVF8XeXRyuK8qh7twcURUlUVbUKuA1YpCjKU8Du9gzYEEIIIXzZ5DExnv+vnzOai6e7urOklKRRaitnYsx4Iv3De7KKlG3eRN6yDzAEBhF/252YG82tKvq29gzaWA+sb6Y8H9d0LU81Kl8LrO2sCgohhDg2Mi1L71JUVkN2oWvy+evOG+2ZSkXTNJYdWgnAKbEn9Vj9AKoOHiDnzTfQGQzE33IbAaOartcr+rZ+s9KGEM3ysSYvH7sd0UGavCM8euq10DSN+xdvBFzTYZtN9Q1r+dWF5FTmMi5qDKMjRvZI/cAV7B198TkAmX7Fh0nAJ/otX14eyIdvTRwLifd6XFKDQRrnTx2E0VAf8KWXZQAwKqxnlv0EV7CXtfgV0DRXZk+CvU7T1kIUiqI8CMQBOcDJwOOqqh50bzsMHHbvmqmq6jUdrY8EfEII4Wsk4u8VnJrGM+//BsDF04d6+u3VOVLuWl5zUMjAbq8bgDUri+w3XsNZXUXMH64h+JTJPVIPX+QexPo6DRaiUBTlrEbjGoKAhaqqaoqiXAU8C1zo3va2qqpPdGadJOATQggfJQm+npWWVb82+UWnD/HaVm2v5re83Rh0BgYGJ3ZzzcBZU83R5/+Jo6yMqCuuIuzMs7u9Dj6uzYUoVFV9rMH+eqCiwfMZiqI8gGuquzWqqm7saIV6TcAXHh6A0Wjo6WqIfsZoMhAdHdz2jn1EVnAJAMHBfj51X+LY+JldK95YzEZ5H7hZzK6Pu6io4G5bWi06OpjVJw1oYWswb1zyTLfUo6Xrx77zVg9e3+e1eyEKRVHMwB+BOxoUP6Sq6hZ3pvA3RVEuUFU1uSMV6jUBX3FxVU9XQfRDtbUO8vPL296xjygrqwagvLzGp+5LHJvKCldSwWqtlfeBm9VqB6CgoByLX/cEfOu2ZfDBuiRuv2Qsp4z2/qxfpn7Gz5mbeOCUuxjcjU26mqZR/M0aClYsxzJ4CAMfeBh9G8toiua18WWqXQtRuIO914D/p6pqSl25qqpb3P9XKYqyE9e8xh0K+Nqch08IIUTbMvIqqHYHFUIAVNW43g/+fk1zK2mlRzDpjSQGxXdrnUp/+pGCFcvRmc0k3HGXBHtdZxPuhSjcz08HvlQUJUJRlBAA97zGS3AtXrFdUZTfu8vPUhTl/AbnGgGk0EES8AkhRAdlF1by17e28OLHu9q1f25xFW99dQCrzeEpO5RRwr60ok6pT92QDU068TWj+wa0rNvuGpQRHernVZ5bmUdmRTYDgwdg7MaVNezlZRSu+hydycTABx7BFBHZbdfub1pZiOIh4Hb3bu/jCgRfVRTlR/c2cGUC/6QoyiOKorwCfKKq6oaO1qnXNOkKIURflV9SA0Bygyk4WvPMe79RWmkjITKQ86cMcpW5R3Pe8LvRnDG+9RUO1m7LwGIyMGNCC/vJKN0etzOpgIrqWgBiwgO8tq1L/wkNjdkDp3dbfTRNI+uVRThKSwifMxe/IUO67dr9VXMLUaiq+kCDx5e1cNwe4PedXR/J8AkhRAcda1NuaaUNAIO+aWD2368OYnc4WzxW0zQ+XJfE22sOHlslRbdKyXIF/xOGN82ipZYexmIwc1L02G6rT9GXq6lJSSZw/ASiLu30WEL0ARLwCSFEB9UFcMfKYnbNTGCtdXiVl1fVtnhMWYNraW202UqTbs8prXD9nOad5b2CRlVtFTlVeQwJGYRe1z0fwVXqQQpXfoo+MJDoq65Gp5eP/v5Ifuqif5MPRNEJSiusnseNg7fGGgZpNve+KZneTcH3vfpLi8fXNR8DLWYC61t05Q1ep7tfiYJS14j5iBDv/nv7C1UAhoYO7pZ62HJzyH59MQCJ9yzEHBvbLdcVvY8EfEII0UENM3w7kwpa3bekon7fuuBw1Ya0JvvllVQ3e3xeSf0UVnaHZPh6I6dTIyOvgugwP0xG74/ZL9K+xagzcGrsxC6vh+Z0kvfBezjKy4i85DL8h/XcEm6i50nAJ/ovX+7XLp32u1XDDN+SVfuosbXcpy+vwZyj29V8HE4nh5oZ7PHL7myczURshWX113I4JaI7Vt3xq3E4p5zKGjtjBkd4lZday8mvLmR0xCjiApudg7dT5b3/DlX79uI/egwRcy9s+wDh02SUrhBCdECt3cm+w8VeZblF1RSV1aDT6zhpRJTXtrqRm+AKDF5cXj+Vy6v3zmBLUjrv7/iWb/J2sPE7G5hrOCFS4bzBZxIdEEV5VX2G0NFik64E/D3pqXe2AaAMDPMqTy/PAGBIN0y0XL51C6U/rcccF0/CLbfLe0JIwCeEEB2R18wqQaWVVl7+dA8Abz10pte2skYDPPa7g8UzJyWSU5PFNyUfYkp0ZfwqHQZ0Vh3bcneyLXcnOnQEOwdgjPdDq7W0neGTBGCPOmGod4YvrTQdoMtX1rDl55H95hLQ64m59joMwbK8npCAT/Rzmo99Ikqfre63/VA+AJfPGo4O+PjHFPak1k+gfCSnnPAQCx+uS2LG+Hje/fZQs+fRRRzl1V3rqbbXUJs1DHvOYLCbAQ1DZA4nnwKHK1IpIwOTO15YnxXPpSHnND2XJHOa6sbfjRGJoaRllxEaaPaU1dhr+CVrM2aDmSEhg7rs2o6qSrIXvwwOB3E33UzA6DFddi3Rt0jAJ4QQx8nucLLm13RCAs3MnpjIjiRX8Pede4UFgL+9vZVxwyLZm5vKDvuXWE604awMRbP6odn80JmsGCKz2VhWjkFn4PKRFxE9dAwvfFTX1KvDUZiA4WgcT5x/JU8u/448ay6mAYdYl7WWkVEDGBvV/Ie6r32h6SscTg19ozkWk0vSqKit5JxBswgw+XfZtQtXrcSakUHw5CkET57aZdcRfY8EfKLf8uUkiC/fW2+SV1yNtdbB5DEx+FuMmIyGZvfbm5WOZfRv6MxWNKcOY2CZ13ZNg4F+Q7lhwu+JdXfmf/Dqifzzgx2efTbtyyGvuIrqsmAcFRac5WH4j9vEh+qnLAy8nUj/8KYXlnivRzibCfjSy11fAkaEDe2y65Z8v46SdWsxRkYSe8NNMt+e8CIBnxBCHKfKGtcAjBB30934ZlZV0PmXYTlhMzqDg9qMkdhzhuIfUYqNanQmK5qmx1kczVV/mEFsYIjnOGVQOK/8eQb7DxexeOVeAFKy6gNFrTqE06LP4Jf8n1iXvp6rlEsaXrUL7la0l8OpoW/Urn6kzBXwDQoZ0CXXtB7NoODTFegDAki8+170JlOXXEf0XRL+CyHEcbLaXPPo+blXzLCYDFxzzqj6HUw1WMZsRWdwYDsyBnv2MND0WKyxOAoTsOcMxZE7mPMmjmZIXNOO9QF+RiaMaHmB+2GGkwkyBbI9dydWR9PVPiTB1zM0TfNaNq+itpKU0sOEW8IIMXf+AApbfh5HX3gWZ00NUZddjiWxa4JK0bdJwCeEEMepxh3wWUz1TblmU/2fVWNUJjpjLbUZo0jQTuTK2a5ltsYOjeSi04cArg7+l88c3uK0Gc01E9dlEo/mVXFq7EQq7VW8f+Bjz3bPqSTi6xGN+/D9fHQT1fZqZgyY1unXqi0qIv3JJ3CUlRF50SWEzTqz7YNEvyRNuqJ/kw9E0QGegM9cH5QZDe6AT+fAEJ2J5tRjzxvIjDMTmD0xkbBgMyePisZkNHDJGcPadZ0/nD2SrQfzSHZP0HzmpER2pxSSkVfBHWecz77Cg+zI30NFbSVBpsAGR8obvF73vRZOp3eGL7nEtZLKaQmTO/U6mt1O3gfv4qyqIuqKqwg/9/xOPb/wLZLhE0KI41S3NJq/ucF3Z3dcYYw9gt6vCkd+IjhMzDwpAb1ex9QT4loc3NGSc04ZyPxzFc/zIfGuvn57UgspLKnl9MQpODUnKw6tQtM0mZalhzXsw1duqyCt7AixATGNgvGOK1y1ksqdO7AMGUr4OefJ5MqiVRLwif7Ll/84+vCt9SZ1S6g1zPDVTYWiDy0EoDZzJDf8bnR95u84NWwqDvav75D//tpDnJ4wmdiAGLbm7uBoRVaDurTN6dT4enO613rAvqw7fu2dmkbdANkPDn6C1WFjavzJnXqNip07KPpmDcbwcAYs/IuMyBVtkneIEEIcp+b68Lmyd070QSXEBcby1v3nc8b4hA5fy9wgK6jT6bjufFfGz2jQ42/05+LhcwDYlrsTT8Tfjohv074clv+QzLMf7mh7Z9GmvamFFJdb0el0OJwODhYdIi4ghnMGzeq0a9hLisl56z/odDpi5v8RQ0BAp51b+K529eFTFCUOeAqYoKrqqe6yB4E4IAc4GdWxC2UAACAASURBVHhcVdWD7m3XAhMBB5CiquqSLqi7EEL0qJpGo3QBJo6M4sQJNlINDoaHDum0a1lM3t/PZ05IYNm6JEorXJm5MREj0ev07CnYz+8Gndvu89bdQ1ZBZafVtb+y1Tp46ePdgGuOxsyKbGzOWoaHDe205lZnTQ3pTz+Fs6qK6HlXEzT+pE45r/B97c3wTQc+x7uhKAhYqKrqP4FPgGcBFEUZANwP3K+q6gPATYqijOy8KgshRO/QeFoWAL0eikN2YtQZOL0TO+mbTd79/nQ6HeHBForLa1zbDWamxJ1MblU++wpVoH1NurV2p+dxRXVtp9W3P6qsseN0r2+YGB2IWpwM0KmBf9FXX2AvLCTk9DMIO/PsTjuv8H3tyvCpqrpCUZRZjcoea/BUD1S4H58HbFdVte5vzSZgDpDUsaoKIdoiS2l1r2pPH776P6WHy9IptpYwJe5kBocM7LRrGfRNM0ThwRZyi6uptTsxGfVMiZvEpuytpJamAcFtLq5cVFbD8h9cQUlIbQUbP/6WqaMjweFAq7XjrLXhKC8HpxMMBkwRERjDwjFGRGCOT+hT/ca6+jfD6dTYf9i1hvJJI6K4bs4Intz2DH4GC2MiR7VxdPuUb99G0VdfYAgKJvqqP/Sp11/0vA5Py6Ioihn4I3CHuygGKG+wS5m7TAghfMb6nZlsV11r5zbM8P2Y8QsAk2LGd+r1mmsSjAjxA+C/Xx1g0qhoxo8ciElvZE/hAeJoPbuoaRpJW/cyvXAnIysziLUVwxHI+al99TEEhxA0cSJ+w0cSOH48xuCQtg/yUXtSC3lx+S7P86hQP3KtWdQ4ajhr4IxOmWy5ct9ect56E/R6EhfeL/32xDHrUMDnDvZeg//P3nlHx1GdffiZ7eq9N1suY9lyL7hgDDammWJ6iSEQSggtJnRCCHwJCSEQSCCEhB4g9I5pNhhw713y2Oq9111J22a+P3a1kizJ6rZl3+ccnzPlzp0769Xub9/KbxVFyfYergBGtxsWDGQN5D4CwVBwPCeyHs/PNhRU1DWTkVfD7PExWEw9fyzWWe28/rXi2zcZPJaWiqYqtlXsIiUoifERcneX95sHr56OXztxGRZkBmBjRjkbM8p55f6FTI+Zwqbi7cR2cb1qt9N8QMG6ayfWnTsIq6vlZMCFjmz/eJyJo6h3QFhYANPT4sirbiZ9fBIGkwnV6cBVW4Orrg5neTm23buo/+lH6n/6EcloJPyccwk765xh0NJr8P862ou91PhgTp+ZxLba9QCMCh0x4Pk1l4vyN15Ds7cQdeXPsCSnDHhOwYlHvwWfLMt+wPPAk4qi7JNl+WJFUT4EvgFul2VZ8rp15wDPDs5yBQKBYHDRNI37X9gAQL3VwQUn99zc/jfPrfNtTx0T6bO+HfDGbM2Jn4FOGnx32+iEkA774V7B155Lx5zPzrI9gMej62pswLpjO42bN9GSdRDN5XFDu81+ZASlkhWQxMiTZ/L1zgrMej12gxsa4aPNbsDEGeEmrljUOQxbc7mwFxdh27uHuu9XUf3pxzRsXE/MNdfhL48b9Gc/EjQ0OfAzGTAaev9/176czcULUlkyZwQAWbk5AIwMGbg4K3vlRVxVVYQuWkzYosUDnk9wYtLbLN0FwNVAnCzLDwFPAW8B6cBIWZYBAoAPFUUpkmX5SeBpWZbdwEuKooj4PYFAcExSZ237wm7oRy26Xy1N9223BumPDR018IX1guCAzoLPrDMxTY2nAbDl5ZB7z7M+kWdKSCRg4iQCJk3mq2IdKzYVAjA3Lhx2VvgKSbfn2y2FXQo+yWDAkjICS8oIQk9bRPVnH1P33SqK/vo4wXPnEX31tcPA2ueh2e6i2e7i7ufXM3VMJLdf3Ht3/O6sKgDOOimZc2Z7xF1OfT77aw+SEpQ0YHduc3YWjZs3YU5KJuL8pQOaS3Bi09ukjR+BHw85fNFhxr8JvDmAdQkER4QeYtqHH8fb8xwBymuafNtNdlefrl06f6SvoHJ+QyE7K/cSZg4l2j9qUNfYHa2lWnSam0kN2Rz843qk8mKmN7ewenQaUlMzuugowubOJ2jGTIyRbesKqC3wbVvMh/8qcKsq+sMkCOj9/Ym+4mcETJpCxRuv0bB+Hc052STd+yCG4GMktq+bv43s4noee2Obb3/Hwaqep9I0Squb2JtbQ1GFJ19x9vgYn6V3d+U+AJakDswa57ZaKXvJU9Us6vIr0QcMbqcOwYmF6KUrEAhOaMraCb7Gpr5Z+CaMCPdtby7bjqqpXDLmvCPW4sogaUxoyGZ+zS5CXVbUSjDGxBI0eSpUQUmUkc2LZ3LluHM6Xdu+O4jRoEMnSb6SIpNHRbAruxpdYC3GlAx+t349C5PnsyjplMM+W8D4CaQ88kfK//sqjZs2UvDYo8TffCuWkb3rGXw0+PsHu/t8zRvfHuCHHcUdjoUGtllbD9bloJN0jA4d2HPX/fA9zspKQk5bhN8wdZOfyMiyfDoe41gFoCmK8ugh5y3Ak0AxMAZ4XFGUA95zg17PWOR0C05cjufMhuO5bdwgk11S79tWCurQemH29TN7xNKodjF1+2sOYtIZSY9MG/xFdkFLQT66l5/mvIp1BLib2RYi8/yIi9Hd/iBxv7gBAM1gZG3JRt7esKnT9S53W/09g14i0L/N/bpgagK6kEpM8lZ0AY3UOxr4OGsFPxSt6zTPoejMZmKvv4nQ0xfjqqmh4M9/pPK9d1Adx0jrtkP+NEbEdnS5xkUcPvu1weboJPYAAr3t7n4q2kBeQwEjg1Mw6039XmZzTg41X61A5+dH1MWXiD65wwxZlv2BF4A7FUV5BJgky/KiQ4YtBwoURfkz8DTwsvfaIalnLASfQCA4oVm3p8y37VY1VmzI7/Eas1FPdJifb7/EWkZZUwWjw1Ix6IbecdKwcT0Ff3gEyorJCBzBy8nnszLqJBoNAdiaXbSqGj/NI0jXF3Vum9Ze8Ol1ug7Cp9xZgGn0DpBUHFmTGd14Pma9iQ8Ofsaa4g09rk/S6Yi+4mfE33IbhvBwar/9mtz77qJ+3VpfPOHR4tM1OR2evbDSSpC/kSdungPQZRxje77eVNDpWGJUADqdRIurhc9zvsait3CFfGG/16hpGhVvvo5mtxN91TJ0Fr+eLxIca8wB8hVFsXv31wFLDhmzBE+tYhRF2QNMlmU5mO7rGQ8IqTe/Zo8ELpdbMxj0PQ8UCAaJPz/wJVExgdyw/JSjvZRBY/vGfL54fzcXXjWVidMTj/ZyBEcJTdX4wz1fMGJ0BNf8au7RXs4xwf9e3ETW/goe+PPZGHtRekcg6AXdml1lWb4SuFxRlKXe/RuAUxVFWdZujOIds9O7XwScClwKxCiKstx7/I8AiqI8NJDFHjPv+trapp4HCQSDiKZpOJ0qlZWNPQ8eJjR622w1NLYcV881VGzZX8G/Ptnb6fhL952G7jAutFuf/pHIED8e/cUsVE3lvjWP4mew8H9zHxiytbrq6yl75UWa9u3FGBlF3C23UeUXwcMvb+4w7rqzx3HypDgA9ufVcNE//owhpgBXVTx3zbmWsUmhALy96iArt3qydBctVtlQvwoNj+XLqDNyZtRFbNrspqDcypWLxrB4ZhLvKp/wU/F6Tk6YzZVyt3l7XeKorKD226+xbt3i6d4hSQSkTyR00WL8x08Y8q4RDm9XlEseWIEK/PwsmfjIAP785nbOnJXE5QvH8Oc3t5FVVM+L3fz/N9td3Pr0T0gSvHzfwg7nDtRm8fcd/2FkcDJ3TL0JUz/cuZqmUbPic6o/+QhzUjIJy+/CEBLS84WCo0JU1GEzsCuA9gOCvcd6M2ZI6hkLl67gBOfYsHALjg6tYm9ccih/uOEk3/GPf/K4/f7w+hb+8PpWbC0de8y63RoGvUcQ5NTn0+RqZlRoz/X7+kvjti3k3n83Tfv24jcujcS77sWSnEJCZABL53e8b3O7TGOHS8WZn4baHIA+vJTd5Qd853Zle7JRk2P82WVbiw4drupYnMWjuDP9Ts6eMJ2LThnlncfj5lySupgY/2jWFm/E5uzbj3RTVDQxP7uGkU88ReyNN2NOGYFtz26Kn3mKwr/8ieacnH69Nr3l0L/0179WeGul5/WIj/BkvwYHmNDQWJ2zjd9v+Av/2/8BDnfb//0na3IBmCF3bB5V0VTFv3f/F4ALR5/bL7HnbrJR+fZbVH/yETp/f+JuulmIveHNBiBFluXWbJ55wApZlsO9bluAFXhcv8iyPBHYpShKA556xtNlWW791TEH+GqgCxKCTyAQnPBctXgsCZFtJS9WbMinuNJGbmkjuaUNFJRbfedqGlpwuFRUFdyqm1f3/Q8JiVkx04ZkbbXfraT0X/8ETSPyoktIXH4XxihPeRVJkjh/XkfBt2ZPKa9+tb/dEQlnoQySxrqGL3GrHvHmdHmseWNnl2BzNZEopePMnoKreAxRgR6h0Vr2xeH0jA00BjA1ylN3sLCxc+JCb9AZTQSfNJuUh35P8m8fJmDyFFqysyh66gkat2/reYJBpPX/dVxKGADxsXpM47bwUf57VDVXs65kM8/tfIk1xRsosZb5LKLtS/kAfJW3ihZ3CxePOa9fnTVaCvIpfPwx6r5fhT4khJTf/wFTXPzAHk5wVFEUpQn4FfAPr0t2t6Io3wH3A7d4h/0djyh8CLgLuN57bRGe7N2nZVl+ikGqZ3zMuHQFAoHgSOJWPSJmXHIoiVGBnc4/+toWJIsVY5LCOwU78avQE2EJZ8O3EYCF/PJGcurzqbPXMy9+FmkRYwd9jVWffETNF5+hDwwi/vZf4zdqdJfjbr1wIvvza/luexHFlTaKK23M9P6eDw00UVcXjbsiGUdMAa/u+x9XjbsEh9NNUGIp60p3EWYOxb9mLJ7W5+Bv8WSchnhLjeS0y2RODvbEhuY3FDIufGCJg5aRqcTf9msaN26g7NWXKH3+WVyXX0no6WcMWVZqVzb9yBBPT+Jivw3og2swNsXwq7kXsLLgBzJrDpBd77HsWeQo7EWjWDJngmcuTePb/NVsLttOjH80pybO6/N6mg4olDz/LKrVSvC8+URdchn6oIH33hUcfRRFWQmsPOTYve22m4Fbu7l20OsZC8EnEAhOSGwtHtdngF9bOZK0lDAy82sBkALqMI/bgqR3U+UEnB6rlmWyhKtoDO6aON4/+CkAU6N735mhN2iqSsXbb1K/+nsMERE91rKbLkcRH+nPd9uLOhyXgOlyNFedPoZbnnWgD6tjR+Ue9pblYo+IwRifjU7S8Yv0n7F2QzPQwLyJbV14Y8P9GZMYwr68WhqbHAT5m0gO8gi+A7XZnDmiYxxbX3CrKm98o5A+MoIZc+Ziiouj6KknqHz3bVy1tURectmQxfWlxASRX+6JcZ0/KQ5JklhduJbMGgXJFoGxaDZy+GjGho0iu6YYpSoHxbqPbHKxhFTyQdUeNu1MoKallvKmSgKM/tw08Zo+t9Oz7dlN8XN/B7ebqKuWEbbw9KF4XIEAEIJPIBCcoNiaPbFZge0E3y0XpnP7M2uQLFbMY7eBzo0jazLuhghQdUybZyWjaQvG5AMYkw9QbIXJUenIYV1b3vqD6nBQ/vorNG7aiDE6hoTbf90r955e19EipnltWU0tTiRJwqILRJ+zgMaoLRBRhjHB4868aeI1pIakEHuqi4gQC4tnJHWYJzbcn4NF9dQ02AnyNxFqDmF06Ej21x4kuy6vXy5MTdPIzK/lp12l7MquZsa4aCwjRpL88KMUP/VXar/9GlddLbE33jwklr67r5zClxvzqWu0c9XisZTayvko6wsCjQHU5qXRZLPjdLlxuTX+9KInzm/K6Hk4KiMISarAEFZPZs0B9JKeyVHpnD1iEbEB0T3ctSP1a9dQ/trLoNMRf+sdBE4dmpAAgaAVIfgEAsEJidUr+AIsbYIvwGIkLsKfquA9SEYn401z2VbT1hrMvz4N+34zxuT9SH5WLp20kNMSTx40UaI628SeKS6epHsf6LV7T6freg1Gg8fqZNTrqKpvgYYpuGvKMCZkk+CfwMTI8Z5nsxhYMmdEp+vX7/XUKfzP5/t47MbZSJLE4uRTyarLZW91Zr8E3/V/We3brm/Xy9gUFU3iPfdR8vxzNG7ehNtqJf62X6Mz9b+AcVeYDDouPdUj0uvs9Tyz/QVUTeVK+SL+sa4SgF8++SPLzmhz0+/MqgIiSY0bzy3z0rE5mzDrTf2qu1j9+adUf/oxOj8/4m+9A/9xR6ZYt+DERiRtCE5ojpEylIPG8fY8Q4mnQHFHCx+AIagOfUQJaos/pyXM73Bu7e5SNIcfjqyp2PfMZ2HS/METey0tlP77XzRu2og5KYnk3z3Sp1iu7nrdtq6vqr6l7V61sdj3zuPuk6/pcV636nlTlVa3JSqMCRuFXtKTWa30en2tHJrwcCjGiEgS7liO31iZpox95D5wL02ZGX2+Tye8fxwS+PofO1UX7ymfYHXaOCtlIZOj0rng5LYkmDe/PdBpmjBvXGOA0b/PYk/TNCreeYvqTz/GEB5OwvK7hNgTHDGE4BMIBCccTpebepunAH6Ape1LW9M0GsK3I+k0nIVjiYvsnMwxFGguF4V/eQzbzh2YR4wk8Z77+2zV6s7CNzYxtMvjoYEmLL0oQHzT+R4L4KlTE3zHzHoTY8NGUWgtYXXh2j6t87ttRT2OMYSEknDn3YScciruhnqKnnqC6s8/7VXbu1byyxpxujp3zTDqdUiShEt18Wbme+yq2kdSYDznjFyMJEkE+Rs7XXPu3BTfdliQudP53qCpKpXvvk3dqpUYo6JI+PVd3SbhCARDgRB8ghOW47k35XH8aIPC8mfX8vrXHutUUECbsMqqy8FhqMNdE4NaG0tooImI4P59wfcWzeWi9MUXsBcWEjBlKonL70LvH9DzhYfQOYYPdJLE7AkxXY7/801zejVvUnTXVsYr5IvwM1j4ruCnPq1zVReCT1U7Czmd0UjMNdd6ig+HhVP96ccUPfUEqt3eaeyh7M2p5tHXtvDLJ3/kQGFdh3NGg+d1emXf/9havpOU4CSWT7sZvU7vPd/5a7G1WDV4XN99RVNVqj76gLpV36IPCSXx7vsxJyT0fKFAMIgIwScQCE4oahpaaLa3WX6iQj19Sltr6gG4KpIBz4+C2HD/Luc5f96IAa9F0zSqPvkI67atmJOSiP3FDegD+2dV7KozRHJ0oO+Hzcg4TyzifVdN5alb52E29a6VpdkrgH7YUcwvHv+ev77t6csb6ReOHDaaWnsd1c01/VpzKzUNLd2eC5iQTtL9D+I3Lo3m/Znk/e4BHJWHNixoY+v+Cv723i7f/uNvbUfVNFocnv9zo0HHlrId7KrcS3JQArdM+gUWg8U33u8Qq+cMOYoJI8JJ89bqG5fctcW0OzSXi4q336T26y8xhIWR8sj/YYyI6NMcAsFgIASfQCA4oThY1FZT7vQZib6Cyzn1edQ7GpkYOhm1oe0LOSzI0mmO3187k6Xzuy+T0ltqvviM2q+/9Fl9+mPZa+VQCx+0xaoBPLBsGv/6zQLk5LA+uSVNhwjD1rI1AHKYpw7fqoIf+7xOs0mPxTt3WQ+tNY0RkST8+jeEnLYIV00NBX94BNu+zi3xAF7rUHTaw96cGrKKPf/vRpObNzPfwyDpuWrcJQSaOr7m0+QoTp3SlhVtMuqRJIl7rpzKS/eeRnRY1z8AukJzuyl6+klPeZ3ISJLu/y2GoOCeLxQIhgAh+ASC4wqRtdETX2zIA+CeK6dy1eltWZi7qzyJATNiJ3cYH9qFOIqN6P2XfnfUfrfSE7wfFkbS/Q+iD+i/2IOuY/i0du8Hg17Xa6tee8yGzte0xtLNiZ9JhCWMTWXbUDW1x7larxudEMI/l5/CNWfJAGS1E+HdoTMaifnZ1URddiWaw0HxM09R9urLuJvaxKLT5abJ21puVlo0F3rbzj3zfpvFTwuqxKW5OXPEQpKCOrtVdZLEuXNH+PZN7Vy83cVJdoXqcFD8zN9oVvbjJ48j6Z77MUZE9vp6gWCwEYJPIBCcUBRX2gBP0kIrJdYyfipaj7/Bj/Tojt0jurKGmY19F07taTqgUPneO+gDg4j75S2YovpWw60r2lv4QgJNGAapaLHR2Hkeh7ctm1FnYEzYKOxuB2W27t2s4Gnl9smaXNyqhtmkR6eTiPFayz5bl9fr9YSdcSbxt96BMTKShnVryPvt/b4+vDUNnvi+eemx3HTeBJJiOscfOoM87dEmRU7o9h7hwW1W3dYWdH3BbbNR+q/naMrch9+YscTfcrsQe4KjjhB8AoHghMHubIvdax+b913BT7g0N8vSLsViMGPQ60iO8cTShQQMbg04Z3U1xc88BapK7PU34jd6YO3JWmkfwjc+JdyzPwgG365iA5u8XUoAUoI8hZrzGwq7ncPlVvnrOzv4fH0egM+VmxTdv3jFgImTSHn0McLOOgd3YwOFf/4DtatWohR43M2B/kZ0Ogk5qXO8ncOvgpSgJBIC4w57jxjv+6M19q+3NOfkUPjXx7Ht2Y0lNZWEO+8esPVWIBgMhOATCAQnDK1C5aTxMb5kBrfqJrPmAIHGAJ/V54W7F/D7a2cCMCohhMgQC1NGeyw0YxND+n1/1W6n/LWX0RwOoq+6moCJg9eSrX3WuUEvDUmqdmtpltJqm+9Yire3bkZN9zX5NmWUd3Dbtgo+g17H6OQATGO38eDax9hV2XVcXlfoTCaiLrmM+NuXow8MpPKdt3C+9AxpjbmEupvQNA0/s4FLTx3V6drL5aU9Zum3lutRe1kKxlVXS/kbr1P4l8dwFBUSPHceSff9dtCLRgsE/UV02hAIBCcML36+D+hYWmNNyUbqHQ3Miz/JJwLaW7VCAkw88au5gCdhIaULN2FvqfnqC5oyM/AbKxOy4NR+z9MTBr0OV8/Des0TN89Br9fxvbdX75Pv7OSV+z19dJOCEkgKSmB7xW7OtVUQ00WLscIKa4d9t7tdbGFSJnpnJfUOeHHPG9w743aSvSKyNwROnoLp/t9S9s47JO3ZSVJLJby7huzPAzBGRzPO5eIecyDr3aNxGCKYnuEm1JJHvZSH2tSE22bFVVeHs7wc1W5H5++PZWQq145I4D2ngSsWdW+B1TQNZ1UldatWUvf9KtA0DJGRRF+5jMDJU3r9DALBkUAIPoFAcMKQV9YIwORRbfFUG0u3opN0nJd6Zo/Xt5bm6A/WHduo+cqTkZvw698gDVKMXXv0Ogm3qvmSCwar80qkt3TNyZPiWLEhH/C4aQ16HTpJx9y4mbzbWExOfX6Xgq9VP99xySQ2Z5SzcLpH0JXbKihyKWh2f4LrJ9MYvYEX977BndNuJtzS+9faFBNL0cLL+LwugZG2EhbGaegrS3EUFYJOh95RSGB8IjUGmLO7mvLdL3eeRJKQTGY0h53m/ZkAnAs07H2flrh4THHxmBISMISE4KyopDnrAPaCAly1npI0hvBwQhctJnTh6eiMnYs3CwRHGyH4BCc2x1lSq2it1j2q6qnFNi45lEmjPGVXSqxlFDYWkxY+liDT0HXVcNXXU/7f1z11/a67Hp15aIo5hwaaqG6wY2txekXW4L4hYsL8mTwqgl3Z1Thdqq/sS0qwJ44vr7GQOczsdF2rKz0u3J+bzm9Llnhp75u4NTcBDeOwlUVw2vSTWV24lhU5K7l6/GV9WtsPO0spN0dQbo7guttP9RVQdqouHlv9R0L2GbE0QenplzMt0Q8kCZ3Fgj4gEENICMaoaCSDAXdTEy15ubTkZNOSm4OjpJjmgwdoPtDZZa0PCSFg8hQCJ08laM5cIfQExzRC8AkEgmFPWU0TH/+Uw5WnjyE0sGsx1ezwiA4/s+djT9M0Xst4G4CTYqcP2dpcdbXkP/p73I0NhJ93AQHpE4fsXn5mI2CnsclJMEPzA8DozVB2uFT8vC91QmAcBp2B3Pr8DmPtDjeNTQ5fqRS/dq70yqZqSmxljAsbQ3VBKlZ3MxeNPpc9lRlsq9jJ6SkLiAvouktIV7SWnHn6tnkdumVsL99FpdSEn+qHBTCmpRMyufsuF3p/fwLGTyBgfJswVR0OHGWlOIqLcVsbMYSF4Td6DIbQ/lt8BYIjjUjaEJywHM/tx47ntnGHomkaD/5nI1v2V7BNqQSgqq6ZT9bk4HK3ldSwNjkB8PcKvl2Veym2ljI5Kp0ZMUMTb+VuslH8j2dwNzYQuvB0IpacNyT3aWVueiwAs8f3Xij1lda6dM52Gc8GnYExoakUW0vZX3PQd/zFLzK494UNZHuLHre+9gB7qz1u0ynREzHqdbhVFZ2k46yRp+NUXbynfNKndTmdbiQ6tsqrs9fz/sFP0Uk6/HWegsejEvqedKMzmbAkpxA8Zy5hi88kaMYsIfYEww4h+AQCwbCmfeeHVsvOo69t4bN1eazeXuw7V+LNLI2N8KfMVsGrGW8jIXFWysIhEciaplH1wXvYC/IJnD6DqCuuQjIMrVPljFlJPPqLWcybGDdkot/ktfDZD6lPd9aIRQAdMm23H/AI8Dqrw1Mb0OsCbnRYWZH7LTpJR3rEOAw6HS63hqZpzImbwejQkRyoy6agsXPf3e5wujWMBl2HhJut5TtpdrWwZOQZJEd5hF5fOmUIBMcTvfr0kWU5FvgjMFlRlJneYxbgSaAYGAM8rijKAe+5ZcBUwA1kK4ry7yFYu0AgOMFxON08+c5O3/6a3SUdWmtV1jf7tlu8/XMDLAa+zF2JS3Vx2dilfcoI7Qu1X62g/qcfMcbEEnfjzUOSpHEoOknqWNtuCFy6Pgufy42txcmaXaWcPiORlOAkDJKevHb1+PzNBp8798yZyb7jOyp20+xq4bzUMwmzhHrKyABuVcOgl1iQOI+sulxe2PUqD510N/5Gvx7X5VbVDp0wVE1la9kOJCTmxc/iByl7UJ5fIBiu9PYT6GTg2LZKXAAAIABJREFUU6D9T8blQIGiKH8GngZeBpBlORG4G7hbUZR7gRtkWR6cyqICgUDQjh92FHfYzy5u6HR+3Z5SHntjK1UNLYCG4tjCtopdxAfEMj9h9pCsqyU/j+oVn6MPDCLxzruG3LLXFUPl1W+1ojqcKu+sOsh7q7N4b3UWRp2BhKB4iq2lON0e93n7Lh2p8R6XqqZpbC33iPTW2Em91/LXWq5latREzkpZSL2jkX/uepkGR2OP61JVrUO3ke8L11BoLWFCxLghTcgRCIYLvRJ8iqJ8ABz6F7cE2OA9vweYLMtyMHAmsE1RlNbflhuAswdnuQKBh325NbyyIhOnq29V8A9FO97SdE8gNE3j/R8Ob7VxuTVe+X4zhUEr+br+dcyTfmK3bQOBxgBunnQdOmnwrW7u5maK//43NLudyIsvwRgZNej36C1D8f42+ZI23DQ2e4TdvlxPaZLU4BTcmpvPcr6mpqGFeqsDgAVT4hntjZ3bUr6D7Po8xoWNIczi6YTRKtRcqsdNLEkSC+IW4OeIIa+hgG/zV/e4Lvchgm9j6VYMOgPL0i4djMcWCIY9A/m0i6ajCGzwHuvuuEAwaDz17k7W7inl2Y/2HO2lCI4SLQ63zwV41+VtSRcpsUHefQ19VAHm8RvRB9eC2YZkbibVfyx3Tb+FCL/BD7pXnU5Knn0Gd4MnIzdk/oJBv0efGEKX7t/e3cXu7GoASqubcLpUFqecRrR/JN8XriG/2hO/d/bsZH5+1jifu3VT6TYArpAv8s3ZGtvnaleQObvYSs2uyWhOI2sKN/HVrq67cOSUNHDb0z9RWt3ku8fOyr2U2sqFdU8gaMdABF8F0L7kfLD3WHfHBYJBoaquLS4rM6/2MCMFxxu7s6uoqG0CwOq1Lp2UFuOLAQOwmHRkWHdgmb4K08gM0HQ4ctJp3nIGLVsXc/GIy4j2HxqrW/3q72g+oOCfNp7ws5cMyT16jzQk9utWC9+htDhchJiDOC1xPgCrK74FNIz6tq+Z7wt+Yn/tQUYEJxPlH+E77ovha5dV3djkBE2Hs1DGhZNPs7+kql1MZitfby7wxQnqdTocbgdv7/8Qo87A6clHWXALBMcQAxF8K4A5ALIsTwR2KYrSAHwDTJdlufUTeA7w1YBWKRC0Y29ejW9b1bQOjdwFxy+Vdc088/5uHnl1CwDFlZ6s24gQSwcRUmNS+KHyGyS9G3dNDPZ9s3FXJYKmA01PbPjQZGna9u6m8v130VksxN30q+O2h6rJ0PXXhupVlzNjpxIbEEO2TUEXWOuL+dtQupUPs75AJ+k4M+W0DtfqfRa+9oLP4w52VyXibghHH1rFtpLMDtc12Bxs3d9mT3C43XyS/RVWp42FSaeQGpIysIcVCI4jeiX4ZFleAFwNxMmy/JAsy37A34EUWZYfAu4CrgdQFKUIT/bu07IsPwW8pCjKwW6mFgj6TFVdCwCJUQFoGtQ2thzlFQmOBAeL6oBWV65KRr5H+I9LDiMsyAxoGGJzsYbvxKwz07JnHo6sqSxbMBU/c5sgtJgGP4FCdTqpfP89AOJ+dRv6oP732x0shjpp41BUr+LbnlmLIy8NAENCNjqdRm59Pm9lvo9JZ+SeGbcxKWpCh2tbXbputc0m2eitmwjgKhqDpkqsLFuBqrWJworajha/JnMBPxatI9wSxmlJJw/gKQWC449effIpivIj8GMXp27tZvybwJsDWJdA0CXV9S3sL/C4caNC/SiqtLE3t4aEqH7G6RxvORvH2/O04/t2NfWaWlxk5NViMugYlRBCSVMx4TO20qyrxiz5sWzMlTy3sYS0lDBOm5ZITaPd1wN2KCh/5UUcxUUEzZlLwIT0IbtPX9GGoNVGdy7d/LJGwoLMvLwiEzATGRGFLaSStS0f8MU2TzzfLyddS3JQ5zI4htakDXd7wefwbavWMNzV8TRHFbM2Zy+njJoEwN5cTwxhWGIttiAFfVAdBknP7VNu6BS7NxSvhUDQX2RZDgceB3LwlLZ7UFGU8kPGzMRTEWUHIAObFUV50XvuBWBcu+G3exNou0W0VhMMC5paXLhUlXv+td53rPWL593vszhzVnJ3lwqGOaqmgeYJzm+lvKaZkiobE1MjqLFX8bdtz+PSuZkSlc65qWcSFxDDk7eMIDhgaN2qmqZR8b83adyyGXPKCGKW/XxI79cXhsrC1z5esj3/+HA3f7ttXuvdqdoxCfOEDdRZKrHoLZybegbjwruu0KXXtwq+Q2L4gDsumUR4kJn/e78WQ1QxH+V+zMyUMRglM5+ty8WYvJ+W2Hz0gOY0ceP0nw1ZjKZAMIj8CVilKMp7siyfh8czevUhY+KAvyuKslmWZSNQIcvyx4qiVAFliqLc3JcbCsEnGBY899Fu9hfUdTgW0u7L3O5w+3pp9p7jt/3Y8dJZraahhbdWHmDHwaoOx5VCj5U3NsKPL3K/xaW5WZZ2GXPiZvjGhAdbfNvty3UMJo0b11O/+jsM4RHEXnc9OnPXfXyPJ9zu7i1lj3rjKz0Djdj3zuWyJZGcPEYm0BTQ7XWGQ+rwAdTbHJgMOqaMjgRg2bzZvJ1ZBrH5fLx/FYH2ZIypuzFElhJqDKV8XypBagzpZ6Yddv3Hy9+GYNizBHjMu70OeP3QAYqifHbIIRfQGusQJMvyb73HbMALiqIcNqBdCD7BMU9WcX0nsQcdY4nu+886HrhuHE7VRULg0LWVEhw53KrK3c+v7/Lchz/mAFBjPEBGxW4SAuM4KXZat3OdNjWBTZkVXLlo8GrA2zL2UfbKS6DXk3jXPZhiYgdt7sFBGhIX/8TUCM6fN4I56bFsVyo71EKstzk6jB0VG86Z46f2+Pfoq8PntfA1tbgorrQxMq4tFjIuwh9n8Wj0UUWsq1gDgCESggwh3DvrNphq7ja+UCA4Gsiy/A3QVWPrh+lYwq4BCJNl2XAY0XYb8CdFUeq9+28BuxVFccmy/ATwAPCHw61HOlbiGlwut2Yw9NVCIxD0nyce+pqQUD9+effxU7phy9pcvvp4L5dcM53xk+OP9nIER5Enf/8N/v4mbrnvtJ4HnwC88cIGcg9W8dATS9DphTAUDAr9tizIslwIzFUUpdAbz5elKEp4N2OvAlIVRfljN+fPAu5TFOWwf+zHjIWv1ltbSyBoT25pA394fWuX5/5ww0n8/v3PMY3ZCWjMjJ3C3uoMWtx2To4/iSvHXXzYuVVVw+VyU1nZc9um4YLVagegoaF52D1XcZUNP5Pe54r9YUcx//1G6TBm4bQEggJ0fL53C8bk/ejMLZyevIALRx+5mnduq5XCvz6Oo7iI8HPPI3Lp4d9nRwtV1XC51SF/H/zu5U2+EjmHcvnC0b2Kr/16UwHvrc4CYOnJI/lxVwm1jXZuvXAi02VPPJ6maby58gCr2yXvjIwL4nc/n9mrdTocHsNJZVUjuiPQ11hw/BMVNaBs/NbSdoXAPO8+sizrgERFUQq8+zcAgYqi/NFbAs+uKMoBWZb/qijKPd65xgBZPd1QvOsFxzStrZkAbr5gAk/f7im1MCstmtAQCT95N0gajqwpXJJ6MY+f/DBRfhGsLdnEW5nv95iZd2zYtweP4doqzuVW+d1Lmzq4cA94y7BcOH+k75jDXMmPrv9iHrMTnbmFRcmncMGoI9e5sWl/JvmPPoyjuIjg+accs2IPvKaHI+DBcXUR07fsjLGcP28Ep8/onJHbFe3jca0tTmobPT9cQoPajkuSxNVnyJi8/XlHxAbxwLLpA1m6QHA0eRBY7C1tdxFwt/f4JNrE3wXAU8BSWZZ/AP4HtLpuomRZflyW5YeB2cBDPd3wmLHwCQRdUd3QVmNvVponFOK55adgMupYV7oRFReuojGodTE0O9wE+ftxffoyXst4h/WlW0iPTGNy1LFTJkPQNUWVVt+2qmo4XSob95Wj10m+HqySxYoi7cLhcrAo+RQmRqQxOjT1iMRram43NV+toPqTjwAIPf0Moi65bMjvOyCGJoSvE5q3dp7ZqMfu9PS2niFH9ylDOjrcz7e9amuRb3tUfEinsU6nJ84vItjiS/YQCIYbiqLUADd2cXwnMNG7/SnQ+Y/Ac+7avt5TCD7BMU1rYdXll07yHfO3GGh0WPk852sMOgOzk2axurSaNbtKyMir4c7LpnBN2mU8te153tr/AekRaeh1neNDRV7HscOmjLbyU9ZmJ6XV3i4awRaiQv0AjYCxe7G6Grlw9JIj2jLLbbNR9upL2HbuQB8cTOwvbsR/QrpIDPLyq6XpfLkxn2vPHofTrWJrdva5HM6o+BBuv3giz37YVkYsPrLrrF6jUYfDqWLpc1Z+K+L/TXBiIn4eCY5parxdNFJigzsc316xm2ZXC0tGLiY1KhqAFRvyyS1tZPX2IlKCk5gXPwubs4ns+twjvm5B71FVjW82F/r2lz+7ltU7PHFaVy0eQ2SoH/PPqsNtqWNq9KQjKvYat20l7+EHse3cgWXUaJJ/9ygB6ROHhdiTjpCJLyU2iF8tTcfPbCDY30RcRPflVw7H1DFRHbJyF01L6HJcTJinNV5VveiwIxD0BSH4BMc0rX1yAyxtxmi36mZj6RYkJGbFTiMpumNF/dZG6uMjZAAya0Rnv2OZ1nit9mzOrMBs0jN+RDj5DYVsrdlEqDmEpaPOOSJrUu12yv/7GqX/eg7VZiPyoktIuud+jGFhR+T+g8Kxr0k78dA1bXUUQwK7rml40SmpACya3rv4QIFA4EG4dAUDYlNGOQ02B4tnJg3J/LYWJ2ajvkOszsqCHyloLGZS5ARCzSEERKgdrmntxzk6dCQWvZnVhWtZkDiXUHOXoRCCo8xPu0q6PB4RbMGh2nkt420Ark67jEi/LqsWDCqOygrKX32Z5gMKxpgYEm77Naa44VfiRmL4tRNrbzkNCezaLTx5dCT/vPOUAbh0BYITE2HhE/Sbrfsr+Pdn+3j7u4M4Xe5Bn19VNQrKrb5AcIBGh5XVhWvwM1i4Os0TNH9osdVVW4vIKq7Hz+DHWSMW4VSdKDU9ZqwfHwyv73fyyxr5fH0eAEvnj+S6s9taQ9Y2trC+dDMVTVXMiz8JOWz0kK+nOSeHoif+TPMBhYBJk0l5+P+Gpdg7HggN6L5riZ/Z0Ge3+jDTvgLBoCMEn6DfPP/JXt92+/Ipg8WubE87rfBgzwe/pmn8e/drWJ02TkmYi7+xLbMvLaWjq23tbo/VaGzYKAByGwoGfX2CgWNtdvq2g/1NzJ8czx0XexJ0Fs4L4Ju87zHqjCwddfaQx801ZWZQ9MSfcNXWErH0IuJvXz68W6UNQ5cuwIxx0aTEBhEWPIxfe4HgGES4dAWDQkGFlchQv54H9hJrs5OvNnpE2iULRqFqKm9mvk9uQwFp4WNZMnJxh/ELpyWSmV/r2/cze97aCYFxGHQG8k84wTc8vu1XbMjzbU8Y6XHXThkTydO/Pom/bv87Ta5mLhy9BH+j/5Cuo+abr6h6/12QJOJ+eQtBM2cN6f2ODNKwtGrdsjQdTdOGTOAPg3wbgWBIEBY+Qb9Q1Y7fJNnF9d2M7B//+mQvWcX1SBLMGh9DZs1BNpVtI9IvgivkCzuVWZkuR/HUrfN8+62Cz6AzkBQYT2FjCfkNhQiOLVp7JP/mssne8iuepJx/73uFWnsdC5PmD3lWbs1XX1L1/rvog4NJvOve40TsDW+GQxa0QDDcEIJP0Gc0TeOGJ1YDEB3m+ZJutnfX77lnmu0umu0uKmqbsDY7aWxy+Kx1V50+FglYU7wBgGvHX0GkX0SX85iNbSJwTbtEgLNHLkZDY13J5n6vUTD4NLW40EkSqfHBpKe2/Z+uLPiR/IZCJkelc/4Qd9GoX/MjVR9/gD4khMQ778Z/XNqQ3u9IIjSTQCBoj3DpCvpMva0tXi823J+K2maq6ltoanHhdLm7LafQFQ6nm1uf/omQABP1NgehgSZf783z5o5g0fREtlfsZk9VBslBCYwI7r4vZ/vkjeqGtlIf48JGY9KbOFCbhaqp6KS2ccMti7EnhtPTZJfUo2oa40e0xV/W2etZkfstoeYQrhp3MUbd0HxEaZpGw9qfKP/va0gmE3E3/BJzUs89X4cdx9n7WyAQ9B9h4RP0CVXV2HmwyrffWg1/b24Ntz3zE3c+t65PGbuPvLoFaBORdVYH737vyaiNCLEAsN5rmbtm/BWHdfUY9F2f0+v0TI5Mp7K5mm/zV/d6bYKhparO00WlfaHezOoDqJrKouRTCDT2r4BvT2iqSu3XX1L++qtIej2Jd92Lf9r4IbnX0URieP0AEAgEQ4sQfII+8cWGPP77jeLbjw3vHExfWGHr9XxlNU3dnkuKDmRHxR4yaw4wIjiZuICYw84lSRJ3XjYZs0mPJIHL3Vaf78LRSwg2BfFt/mrsbod3fK+XOew41p/N5VZ95Vji2wu+mgMAjA8fOyT31Vwuyt94jaoP30cXGEjy7x7BL3XUkNxLIBAIjiWE4BP0iUOL5AZYjJ3GlNc0UWevp7alrsf5WpMrDkWvk4iM0PG28iEmnZGLx5zbq/VNTI1g/sQ4NA12tLNEhpiDmBc/C7vbwdrijb2aSzD4fPhjNnf9cx27sqqoszpISwkjJdbTTquwsYQdlXuItIQT4x896Pd21tRQ8PhjNKz5CVNCIskPPow54Tju1nCsq36BQHBEEYJP0CfaCzx/s4FxKaGHjFBZU/0dD69/nIfW/4nvCn7qdi6nS6WlXbLHxQtSfduJsWb+tu15bM4mzhqxiNSQEb1e42neHpz/+mSvrzUbwJy4mZh0Rj7J/pKaltruLhcMEUUVVlZsyKe20e6r4Xje3BG+81vKtqNqKheOOXdQszQ1TaNh80byHrofe14ugdOmk/ibezBFD76oPNYQIXwCgaAVkbQh6DUOp5vCCisAS+akcPGCQ1xhkopx5F7y3SWEmUNpdrXwcdYK4gNjSevCRVdV34wGzJsYy6WnjUavk/jwxxzQO2mI2UpLcxXz4mf1uSxH+5iw8tomRsYFA6BzBTA38lR+qFjJ3qr9fXt4wYB5+JW2LOlWIRIf1fZ/dbAuG4OkH1R3rupwUPn+u9Sv/g7JYCDqip8RunARkk781hUIBCcW4lNP0Gte+HQfAAEWQ2exBxjiszFElqA2+/PgrOVcLi9FQ+Pfu19nT1WGLyM2M6+Gl1dksC+3BoCUmCCC/U0Y9RK64CrM47bQYqxiQsQ4Lh/bueZebzh3bgrgEamt3PXPdXz9rSd7d191Zp/nHBYcoxad7sr2BPp5LMb19kYKG0tICU7GpO+6h2pfcdXXU/TUE9Sv/g5jTCzJD/2esNMXnzBiz2MkPUbfEEcDYe4UnOCcGJ98gkFhZ5YnJq41M7c9kl8jhugCNLcee+Zs9mY1Mit2GjemX41LdfHC7td4W/kQVVP5x4d7WLenjP+tOgi0dVh468D7mMdtRRfQQLJfKr+c+PN+iT0Ak8Fz3V/+twNV07C1eFp4aQ5/1KYg9lbvx6V2n02saRqq3Y6zpgZnTTVuq/W4K+FyJKmzeoR2QjuL3rVnj0Pndd1+mv0lGhozYiYPyv3shYXkP/IQLdlZBEydRtL9D2JOTBqUuYcV4i0rEAi8CJeuoNdMHRPJjoNVXH2G3OF4eLAZW8oaJKMTZ4EMLhMlVZ5M3SnRE7lj0i38a8cbrCvZzIbtjdidKb5r9TqJ2HB/lJostpbvQLUF4cibwM9/dka/xR5Ai6NNzNU12mlsauvZ6swbj3n8Jlxam9VJ0zRacnNp2LCWpox9uKqr0VwdrVKS2Yw5IQH/ceMJWXAqxojIfq/vRKPO22t52pgoblgyHkmC5BhPsoZbdbOrch8RljBOTpg94HvZ9u2l+B9Pg9tN+HkXELHkPCTDifdRJ0mS0HtdILp4CE5UTrxPQUG/aTVwhQdbOhy/+oJY/qPYcNfE4CobCeCz3AAU5uup3zUdy6S1uKMUdPX+qPVRALhVjez6PF7Y/SoAzoI0NFsoQf4Da5ze3mvndKlU1XtqvllMelqsoQTqg3GrblSXi5qvvqRh0wYcRZ7Wa5LZgjkpGV1AAHr/ANBJqC0tOKuqaMnPpyUnh5qvVuA/Lo3QRYsJmDT5hHET9pe6Ro+FLyzI7MvKbeVAbTYt7hZmxU7rUBS7X/f56Qcq3noDSZKIueEmgmfPHdB8AoFAcLwgBJ+g19i98XAmY9uXsqqprCj+DAB3Tazv+CdrcxkZH0xIgIm3Vh4AzDjz0zCO3INZ3obmMqLZLajWMP6+41sAlqVdxvoKPfUWZ7flWnrL2Sel8MX6fAAcLpWq+hYAEqMCySquJ82VRItTxVVeTtXWT0GSCJg6jZD5CwgYP6Fbi5Bqt2PdtpW6H76jKTODpswMzEnJRJy/lIApU4e19cDlVvluWxHzJsb5YusGi1qvSzf0kC4sbtXN28qHAEyNTu/3/G6bjYr/vUHjpo3o/AOIve56AqdO6/+CjxeEiU8gEHgZ0LeqLMv3ACOAKmAMcD3gBzwO5HiPPagoSvnAlik4FnC43Oh1EgZ9m+ArsZZRbC0lzpxMTjvBB/D0e7s6iEN3dTya04QxeT8mfzsuQyO6gEb8DQFcn/4zxoaNZvblnm+ogQonP7OBs2Yl8/XmAhwuN5+szQUgIVhP6o6NTH0vhzXJl+DWS0RdfQ3B02ehDwzscV6d2Uzw3HkEz52HvbCAmq++pHHzRkr++Q+MUdHE3XwLlpQRA1r7keS+F9ZTWdfC5QtHE2Ax8u73WWzYW8Yjv5g1qPcpq/YU2G7tvdzK3upMqltqmR03g7Fho/s1d/PBgxT/42+ozc2YU0YQ8/PrsCSn9Hzh8Y4EmlB8AoHAS78FnyzLscADQKSiKKosy58CFwHzgVWKorwny/J5wJPA1YOyWsFRxe5QMRk7xtUdrMsB4JSkWeRg7XSNw6l22E/0G8Ej514GwLqcDGzuBuakpBNk8oitwbSQtfbW3ZJZgd3hJqalmlkrP0TfYsMdEoHbqKfRpKdx6ljCeiH2DsWclEzcTTcTfvYSqr/4FOu2rRT88VEiL7yYsLPOOSpu3r58wauqRmWdx/L57vdZLJnjEUkFFVZKq20dytsMFGuzJ4YyNLAtA7fMVs7rGe8AcHJ832P3NFWlduU3VH3wHgDh555H+NnnojMPLBxAcHwipK/gRGcg30hNgAMI9u4HAvuAJcAG77F13n3BcYDD5cbczmKnaRp7qjIASItsK9PywLJpnDGz64zI06e3HZ+XOp4zxsz2ib3BptW62FjbwKlV27im6Ev0LTbWhk2iZtlydCaP+Pgyb9WAMnDNSUnE/+o24m+9A31wCFUffUDR3/6K2tIyKM8xVDQdUiplxYZ83/ZvX9yEqmnsz6+lvKap27IqvUX1vr46XZug/zrP0+bu4tHnMjIkuU/zuRsbKX76Sarefxd9UBDxt95B5NKLhdhrh6jKIhAI2tNvC5+iKA1el+67siyXAkVAFhANNHqHNQBhsiwbFEUZ2DeG4Khjd7oxt7PwbS3fiVKbxZjQVKL8I7jh3DTCgiyMSQzF5db4dkuhb+zvr52J0aDrsqTLUGHUwZT6A5y0eg8Wuw1HQCjW085j7X6J0To9Bp0Bs2RiT1UGOyr3MC160oDuFzh1GubEJMr/+xpNmfvI/e39xFxzrSep4wjH9vXmdv/ydrvojuJKG0+8vcOzo3fy6LUnkRR1aGeV3uH29jXWe62em8u2s6V8OzH+0ZyadHKf5mo+eIDi5/6OarPhNy6NmKuvxRRz+D7LJyQiS1cgELSj3xY+WZanAPcASxRFuRZPHN/DQAXQmoYXDNQKsTf8UVWNZrurg+BrbXR/6dgLAJibHkdaShgA0aFtsVrJMYGkxAYdMbGnud3Y9uwm/pP/cFblRkyOZjaETqDluuW4x04APNnBAEEmz1v1s4OrKKiu6nbO3mKMiiLh13cSvuQ83NZGSp59huKnn6QpM+OYq+OXme9pL9f+/6o9BwrrQOfCEJeDZer3PL7zCfIbCrsc2xOtr7deJ9Hi7cBi1Bn5+fjL+5SZW/f9Kgr/8ifUpiYiLriQxOV3CbHXDcLCJxAI2jOQpI0EoKadmCsFkoEVwBygEJjn3RcMY7KK6tlxsBKHU2VUfLDveJG1BJPOSFxA5y/csKA215qcFHZE1gngtlop+ec/aD54ABOQETiC7yJnYjP4MSM0mAZvPbgv1ueRDhh1BiaHT2JXzW4e3/gCf1m8fMAuZslgIPLCiwmcPoOq99+lKWMfTRn7MMXGEXbWOQTNmIHO0rXIOlI4XW2xlb9YkobZqOfR17YAcP2SNF7+ag+bKjZhnrgLnbnVNe3i6e0vcEv6TezNcKOTYOn81A7zaprG9gOVpKWE429p+3hxq5pHgEgaz+18mQZHI4uTTyUluPfFkCveeYu6VSvRBwYRe+MvCZjQ/6xegUAgONEYiOD7GjhHluWngDogHVgO2IG/yLI8FhgF3D3gVQqOGs12F396c5tvf7rsaThvddootZWTEpTYpYWmfaxWoN+Rqf7jKCul8K+P466vxz99EkrCZD7LbluHv9mAUlAHQG2jHc1iQgPOiDmfbQeqMESW8I8d/+G6CVcRHxjbzV16jyU5hYTf3ENLTjZ1q76lcesWyl97mYq33yRwylRCF56O36j+ZaZ2Sy8tOq1lUuamxzI2KbQtRk/nYk/zOizTtlCs05A0cJWl4CobgS6kCkbu49+73qA+cxyqNYzFM5MIsLSVcNmZVcU/P/a4imdPiOHGc8cjSRJuVUOvl/ihcC25DfmkhY/lnJGLe/dILhelL76AddtWjLGxxN9864nZNaOvCBNfR8RLITiGkGU5nF5UNJFlOQ/I8+4WK4ryM+/xEcDv8ITSjQDuUhSlc+ZkOwYSw+cGbu3m9I39nVdwbFFSbeuwn+q18H1X8BOqpvYq7m2wa7p1hW3vHkqe+zuay0W1xMaKAAAgAElEQVTY2UuIvOBCNq7Nh+y2RAR/swFDOyFqbXHiF2CiocmBM2ciACWU8NS257khfRlpEWMHvC5JkvAbNRq/UaOJWFpGw4b1NG7a6PvnNy6NyIsuxS81tefJBpEmb6u51v8bP7OBay6KYmXF5+yx1qE5LbiqEnBVJIHTgp/ZQEuVH6fND2N10VrM4zejuYx8eKCBq9LPo67RSVlNE+U1zb57bNxXziULRhEebMGtauiCavkwayMWvYWrxl2MSd/z+8JttVLy/LM0H1AwJ6cQ/6vbMEZFDc2LchxyjEURCASCNv5E7yqavKYoyiNdHH8BeFhRlM2yLN8O3IdHAHaLKLwsOCytLtBWLCZPDN/B2hx0kq5XrbAChljw1a9bS/l/X0WSJKKvuZbQU04FPNarLze2CT4/s4HFM5N8NfnAI3zqrQ5AwpkzkavnzeYd5WOe2/USy9IuY07cjEFbpykmlsilFxFx/lKaMjOo+fILmvdnUvin/yNo5iwiL7sSY9hgub89wlbTNMpqmjqVWLE1eyx6AV636/aK3XxQ9BYAZ6YsJMI+gZd3eXodnzUrmbyyBvYX1HFB6rl8/a0TfXQh+rByNlVtoHpbFXvXxqLZ/QkLau3CoqELrmZN4RYmJCRS22RDSsoE4OZJ1xJu6fk5m3NyqHjjNeyFBfinjSf+1jvQWSw9XicQCATDgCXAY97tdcDr3Yw7RZble/HkRnylKMp6WZaNwGnAlnbXv0QPgk86VgLJXS63ZjD0v3eqQNBXnvr9N/j5m7jlvtOO9lIGjY0/ZvPtZxlcft1M5PSBu6UFw5cX/voDDfUt3PvHs472Uo4JXvvnOgpya3j4yfOO9lIExw+HrYcgy/I3QFdZZQ8D7wMxiqLUybJsAJyA8dAkV1mWZ3mteP7AduBcwAZkKooS6h0zGvhBUZTEw63nmLHw1dY2He0lCLrgkzU5fLYuDz+zgXNmJ7NkzghKrGU8tvlvzImbybK0S7u99rttRWzYV8bySycPiVu36YBC0VNPgKYR98tbCJre2RrndKn88skfAHjl/oUAZOTV8OQ7O5mCRJXVzmOvbGTjPk/oxPnzRrB0fiqPb36GImsp98y4rU+JBf1Bc7mo++F7Kt9/F9xuzElJRC/7eb/i+6ze2Lz6+mYqKxt54D8bKa9p+9uKCLZQ3dBCemo4e3NquP48mW2OFSi1Wdw08RomR7UlQjTYHBgNOvzMBp5+bxd7cqq5ZWk6z3+yl9GJIWQV1YOkoo8oQR9agS6oFsno9F2v2oJxVSaiDytH59eIuyGS5y+5Hb2u+x92mqZRt/o7Kt/5H0gSMVdfS8jJ8/v8Ogg8rfJUVaOysrHnwScAzv9v777D46jOxY9/t2h3Ja16r7ax5GNjW7ZxwwVjU2xMC2AIoSShpFJySSO5/AKkkZBAgNwQws0FAqGEEBw6hF7de/ex5SJZzZKt3lZa7fz+mFVZW8Wyqlfv53l4vJqdnTl7mN1955T3NLWAgdSH6DcJCRHdPq+1XtLVc0qp1owmlXST0URrvdb/b71SajPmZNgXgFCllEVrbfhfX9pTeYdNwCeGn2ZvC59sKsRus3LfN2e3rYO6oXQLQI+B0LnT0zl3erc3HCetYV+uGey1tJB6+x24p0ztdL8Qu5XxmdEBS3qdPjqW8ZnRkF8F0BbsAby+4iBnTkzmkrFLeWzLk6wsXjfgAZ/FbifmvMW4p03nyKvLqVm9ikP330fUgoXEL7sKW1jYSR+7Y7AHcLTanHG7fX85APubt6ArchkXk0VO/MSAfSPD21fFsPnHPramclk4NdUM+AwrLUfSuePci/nDPzcRmVzFhQtjCbU7+dsLNeCz01Ka2eE4XQd7Po+Hsn/9k6pPPsLicJD+/R8Rmt33cZQjlb9Tf4hLIYToQqcZTZRSViBda52vlDoXs9XvP/7XZAH7tNbNSqmPgZnAWk4wI4oEfKJLxUfrqa5vZsGUlLZgzzAMPitYSUSIm5lJ04akXA3791P0pz+Cz0fKt2/pMthrdee1Zxy3zdfN7+Du/ArOysnCYXOQW7G/r8U9YSFxcaTc/C2i5s6n9Plnqfr0Y2o3bSDx+q/jnjqt10u1NTb1kP7S4kPXbcZhDeHmSdd1mxy6NeDbU1CJBZiWncC5Z9Tw4cYCbFYLE8fE8ttvzyEhKrRthrb9whL+701zJZbIsBB+++05XR6/uayMkqf+j4a9ewiJTyD9h3fK5AzRryT0FcPMXXSe0SQHeBaYjNlq93Ol1BlAKrBca/2Ff7/vAPcopRZjpsT7QU8nlIBPdOkxf3qNyPD2nHoVnkrqvQ1MS8zBZR/8ZayaDh+m+H//TEttDfFXXU3EzFkndZyiI3Uc22FqwfxRKKto4NfPbCRhXCqF9Qep8tQQ5ey+6b4/hU04ncyf3cvRt96g4j9vU/zYn3Cddhpxly0j/PSJPR/Ar7CsrptnDRKn7qTCU8nclJm4Q7pPit0axBWW1RHtdhDqtLNkVgYrd5Rw49LxACTFBLZEzpmUTEWth7dX5XHbFTmEOjv/uqnZuIHSZ5+mpaaG8JwppHzrO0OepzAoDO7iLkKIXtBal9NJRhOt9WbMYA+t9TZgWRevPwjc1JtzSsAnOvXKZ/sprTRTbMwan9i2vbC2GIB0d8qgl8lTVEjhww/iragg9sKLiV2y9KSPVdvQDFhw2G3gNVvCfnnzLO5+ci3vrMkHwEYojlHw9sH3uUZd0R9v4YRZXS4Sll1FxMxZlL/xOrWbNlD40AM4x0/EM/c8xs3toXXVAofKzJRMNy4dz7RxCfzsiTVU1zXx8Pfm8Me1z3DYV8DYqDFckX1xj+Wx2dqjh9aWkvjoUP78/QXdvu7CM0dx4ZmjOn3OU1hI6T+eo2H3LrBYiL/qamLOX9LrlkzROQsWSctyjEFe4VCIYUUCPnGcFp+PN1YeBGDyaXGkJ7avPNEa8KUNcsDnKThE/n2/xGhuJmbJUuIu7/Sm54R9b1kOK1/dQXSEkxmJMWSlRREXFZjyo6U0gzhVwtqSjSzLuuSE8sb1N1fmKFJvvZ2G/fs48q9/0rB7B+zewe7V0zjta9fxr03lHCqt5SfXTjuuS/ZQqRnwZSZF4A4N4XffnkNNUx1P7X6aw74DpLlTuHHiNYTae25Ns3U49sKpaX16T96qKsrfeZPKDz8Aw8A5egxJX7sBV2bngaEQQoi+k4BPHKei2tP2eFxGVNtjwzDYfsTMpZbuTh208jTm51Hw0AMYzc0kXHs90YvO7Xa82YmYmh3PZpcdiwVuuXxyp/skRoUzI2ka7+Z9xEt7XuW68Vf2+bwnK/S0sbi+dQdPPfxvFh3dSPLOTey/ZyfesCwOxObgaW7B5Qj8OO8vrMZus5Aab3a1Oh02Xjv4EbmVB1AxWXw350ZCTjCI7TiBI+0k10Ruqa+j/O23qPrkI3yNjYQkJhF/5ZeJOGP6SR1P9EBas4QQHUjAJ46TW1jV9nhKVnzb4/yaAg5U55MTP5EYV/SglKWprJTi/30MX20t8cuuIuac8wblvADjR8WwMGMSa0s2sqp4HVMSJjI5/vRBO/+x/v35AfLCUnk6NIUZVbuZX76FOZU7mFSzn+q9o3FNVG37Nni85B+uQWVGE2K34fV5eT/vUz4tWEmsK4Zbp9zc7YzZY41NMwP/uEgX2elRPewdyNfYSO2mjZS9/E9aqqqwut0kXH0NUWctkLF6A2y45FkVQgw9CfjEcT7dXASAyogmPaG9O/dg9SEApiYMzqL1zeXlFD70AM1lZUSfez6xSy/q93N093PoMwwiHRHcMuUmfrP2YZ7a8QLfmXwDKraf1789Qa2NixfPG8ObKy1sjRzLgqObmVG1m8pH7sf7la/hCx8LwLrdpRhAzth4DtUU8eT2ZylrOEq4PYyvTbi6V8EewBnjEvjlTbNIjgvDbut5jJ3h89GwR1O9ZhW1G9bjq6/HYrcTd/kyYhZfgDVk8LvHxUgnwa8Y2STgE8cp8edu+/E1gRMD8qsLAMiI6NsYrhPRfPQo+b/+OS01NcQsvoD4q64e8HMey/Dnbkl1J7Ms+xJe3vs6r+S+yU9m/teQdO36/OUZnWzOGG6yOvggYRZ5oclcUb6a2n88w5akhRAxmi2H8nCn1dAU18wfNnxKs8/LgrS5LBm9iGhn71roWnUcy9kZwzDw5OdRt3ULNWtW01Rijve0RUQQs/QiouafhSNJVv8YLDJBQQjRkQR84jie5hYyE91tqTha5dcU4LCGkBye2MUr+0fD/n0UPvIQvvo6Yi++lLhLLxuQAMvSwyAnX4fusEUZ89lbsY8tR3bw5v53uWTs4C9X1djUAsCYlMiA7XvdmeTNyML97r9I85SRGzGauLidFKUd5d18CLWHcvOk6wesO7qppITqlV9QteJzWqrM4QAWu52IWWcSOW8+YRNOl5m3Q8IijVpCiDYS8IkAhmHgaWrB6Qjs8ttUuo2iuhJOj1NYLQPz420YBpUfvEfZyy+Bz0f8FVcSs/SiQW1Nu/OaaazeeZjPthS1JWfeV1jFvsIqvjL1Cg6uzeejgi84N/NswkIGd/xZa8AX5Xbw6B0LOFRaw668Cl5fcZBCRxybZ2Qzq8Rc2mzh+hqKCt1kfWUJ49InEx5y8qt1HMvX2EjDvlwa9mjqtm3Fk58HgDU0lIjZc3BPmUrYpEnYwk5ucofoHxaJ94QQHUjAJwI0eX0YcFzAt+7wJgAuH9v/4+gAfM3NFD36R+p3bMcWEUniNdcRMWv2gJyrO+NHxZASH85nW4po8Rm0+Hzc9+wGAGZPnM+ijLN4dd/bvLrvba4d37fUML3V2OTFGWLDarEQ5rKjMmPYX1QNwJ6WlXjH5LPbnk1qMXjsTqbs24f1kb9TN3c+1pmzcI0e0+uWNsPrpam4iMa8gzTu30fDvn00FRXSluDNaiVs4iQi587HPWWKTMIQQohhSgI+EaCuwWwhCne1D6pv8bWgy3OJc8WS6u7/MVjeqioKHnqApsICQrPHkXzTNwdvWa1OmkBae7INn8GB4vaF1usamjk7fS6ri9ezomgNF41ZPGgrcLS2vLqOCcQ9LR4cE9ZQHV6BrzGMiAZz0sbom24iOn8T5f95h8r336Xy/XexhoXhSE7BFhWFPTIKR1IytqhIsFhoqarCW1np/68Cb1Ulvto6WurrwOdrO5/F4SA0KxvX2Cxcp40l/PTTJcgbzmSWbjupCjHCScAnAlTWNgEQ1SHv2qbSrTS2NDI9aUq/n89TVETx43+mqagQ94xZJN/0DawOR88vHECtYxd9hkFVbXtOwtLKBlLjw5mXOovluW+y4+gu5qae3NJuvVF0pI5fPbMeT3MLSTHtwZXP8PHZkfexRVTQUh1D84HJzDtjNFtX5WN1Oom98GJiFl9A7ZbN1G3ZTMO+XBrzDkJLS4/ntLkjsLndhCQl4UxPx5GSRui4cThT07DY5WvjlCBdukKIDuSbWwQorTBn6HZcdeLtgx8SYrVzTsZZ/Xqu6lUrOfzs0xhNTUSfdz4JV187uLNfuziV1V8Gn8+guq6pbfvGPWVMzYpnUvzpLM99k/fyPmZK/CRWbT1KZLiDWROSOj3e5twjFJbVctGc0SdVzDdXHcTTbAZpYR1aXjce3oInIg9fvZsmPQMMW3sLoP+9Wex2IqbPIGL6DMBMl+Krr8dbWUFTcTEt9fXga8EWGYk9Khp7TAz2qGgJ6oKFRHwBhipxuhDDgXyriwCfbTFz8GX5E+3WNNVyuL6UCbHj+nV2bsUH71P2zxewhISQfPM3iZwzr9+O3VetAd+BkpqAAOuLrcXMm5SMyoxnXupsVhSt4cXNH7PiI7PV7YxxCcflqGtqbuF/Xt4KwIIpqUSE9b71svhIfdvjRH8LX0ldKa/se9s8R+40MGxMy47HZu3+B81itWJzu7G53TjTM3pdFnHq6GkWuhBiZJFcCaLNyu3F7M6vJCbC2Zb6Y3/VQQDGRo3pl3MYhkHFe/+h7MXnsTgcpH//x8Mq2ANonddQXdfEqh0lQPskljU7DwNw6dgLsFlsbKj6Aourtm3/Y7VOqgD4aGNhr8viMwzyDrePIwxzmvdo/9rzGpWeKhalz8faZObHi41wdXoMMUJJvCeE6EACPtFmxTYzuJk53mzJMwyDLwrXAJAVPbrPxzcMg6OvLKfspRexhoYy6u5fEJqd3efj9rfOun1+880zAfhkcxGGYeAOCWdS5HQsthYc4zZijTxCaXXVca87UNwe8L32xQEAdh4s56ePr2LnwfIey7JpT1nA35PHxnGkoRxdkcuYyFFcOe5SnCFmMNrk7Xlsnhg5LMjSakKIdhLwCQB0fgW78iqIj3Lx5XPMpcMKa4vZWa7Jjj6NsdF9a+EzDIOSJ/9K+dtvYo+NI/Nn9+JIHp6rLnTWLeoObe/avfl3HwOQ4Z2Jt2QUVlc9zvHreWzvI3yQb65q0epgSU3AcRqbvDz44mZKKxt48MXNeFt8dKd11ZOzp6Zy7w0zmZoVz3O7XsLAYH6ambZm9kRz7OC4jGgZsiVEF+SzIUY6CfgEAL97wcyzN10ltI1h212xF4A5KTP7lGzZW1nJofvvo2b1KpyZo0j/4Z3Deomtzlr4QuyB79/T3EL+4Vqa8xXjOAtvySjshPBK7ls8uvn/aGppxmcYrNtdCsC07HgAbnnos4DjFJbVdVuW3fmVAFw0ZxSjkiMoqTvM3sr9jIvJYnbydACuOTebH39lKnMnDd86FUNAunSFEB1IwCcASIkzV2I4b7o5kL+0/gjvHvwIq8XK+NiT73at27mDA3fdSeO+XMJOn0jaf/0AR1Lns1kH24n+HsZEOAG494aZbdvySmpYs/MwVouNszPm0Jw/gTkhV5MTP5HcygM8uf05tu070rZ/69i7Y/3i6bWsLFrHX7f9nQ/yP8VntLf4rd5Rwo4DZrdvfJQ5WePjghUAzE2Z2RaY2m1WJoyODQhUZcC+AIuk4RNCtJFZugKAuEgXxUfriQw3uy5XF6+n3tvAl8ddRpQzsodXH88wDCr+8zZH/v0yWK3mMmmLLzhl0n0sO/s0qmqbWHrmKBwh5n3RqOQILp03mtdXHOT+5zcC5qSKMalm/RQWe4lvnEW0tYLtR3cR0hwNRBISUcMB104cE2poKU9iTkYOzc6jbDqyCWtYDc/vNpNdbynbztaynVw3fhlJ4YltrYNTs8zWwd3le/micDWxrpgBWxdXCCFEcDo1fn3FgKqo8bQlXLb504roilysFiuzk8/o9fF8zc0U/+VR6rZuwRYVTdLXb8Sd0/9JmwdSVznzWlv7OooKd2C3Wdi67ygAFudYYqZXsKl6Fc6JkVjDq6kAbBFgi6hgA7uhGWxR4GsMo6U6jvPGzOWwfTu7yvfw67UPMT5kLpvzbICLJbMy2Fuxj2d3vQTANyZdj8t+fDmE6EjaeIUQHfU54FNKKeAaoAE4G/g5UArcDeQCo4Efaq1r+3ou0f8Mw+DuJ9ZQ7zEnGlgtFkrrj5BXfYgxUaNw2XuX6sNbWUHBg7+nqaQY19gskm/+Fo7E/svfN9Si3IGBVqR/RZLU+HDyD5uXuOEJZ0rLZWy2vEFjeDWR9ljia2awU3sYPb6WhPQGEsPimZkwg3v/shOAEmsYty/7BptKt/H09n+ys+kLXFPBaLHy5MEV1HnNYy9Im8OoSMmfJ06ARHxCiA76FPAppWzAQ8AlWmufUurvgBd4FrhHa71WKXU78BPMAFD0owPF1Sz/dB9fmj+G7PToXr3WZxg88eZOVu84fNxzy/e+Yc4CTZ3dq2M2HthP0WN/wltRQcTsM0n62o1YncO7Jaq3aSvGJAeunXvr5ZMA+O5lk/jv/13dtv3jNRXMnXw5q/Ye4CfXLSQ+IowVScUsmpYWkJz54dti+P6jK9py+CVaxlC7dRa2uGIsrjqsrnpsLpiaMJnzMhcwJmpUD2+oV29HBLHWeM8wDFlhAuSzIUa8vrbwzcT8XrldKRUGHAX+BiwC1vn3WQE8gQR8/e7pd3ZzqLSWnQcreOqn5/TqtbkFVZ0Ge7VNdews16S7U5mdMv2Ej1e3bSvFT/4VX20tsRdeTNzly4LyR6ZjC98TP1nUNqM5KSaM86ans7+4ui3ZcmFZI7bmCFJj3dhtVs6fcXzLXJTbSVykk4paD+t3l/LYq9sBN97C9okyt948i/QE98C+MSGEEEGtrwHfKGAOcI3Wukop9RwQBzRorVvvp6qB4OnTGyKGP8XH+MyYtm7E6nqzVejY5bxOROERMx2IBThzYjIVNY2cc0Y6/9DL8Rk+ZiZPO+Fj1W3bStFfHsVobibhmuuIOff8XpdnSJxkPHr7FZMpr/G0BXutrj1/HAA33f8RAPklNaQluHv8/xMd4eRgcQ1rdrUH4OfPyCAlLow1Ow+THBvW+0IGX6wteisIb7j6TKpEjGB9Dfiqgd1a69YlBr4AzgJClVIWf9AXiTmmT/TBtv3lPP7aDrLTo/jv682WtxB/IHEyAUHrKg/33jiTzCSzmzK38gCbN24nw516wt259Xs0hf/zMAAp37mFiOkze3jFqW/auIRun5+uEtigyzDofJLHsTISI9hXWE1BqTlOLyIshHOmp5EUE8bCaWn9UWQxghmGxH5CiL4HfGuAOKWUTWvdgtnitwOzlW8msBaYB7zVx/OMePuLzJh6b0H78l0N/okWBWW1vPjhXqZmxbMrr4LJp8WRlR7V6XE8zS384m/rKCmvZ1RSBBmJZldho9fDy3teA2BZ9qUnNFmj6ovPOfzMU2AYpH7vDtw5U/v0HoOFy7/UGQSu0NGVMSkRfLIJDlc0YAEevGXecYmehTh5BtK0JcTwopSKBe4H9gPZwF1a68PH7LMQ+DPQusZmIvCS1vrnSqnHgfEddr9da72tu3P2KeDTWpcrpX4CPKKUKgMSgF8CLwD3KKUWA5nAD/pynmD28cYC3lyVxy9vnkW4q+vgoLULFuC9dYdYMCWFukZvwLb31h0C4I2VB7sc0/f8+3valutaMjujbZzdiqI1HKotYlrCZLJOYBm1yo8/pPSF57A4nCTfeLMEex04HO0BX1xUzy18p6W2B+eJMaES7Il+Ia16gQyZtSGGl98AH2itX1JKXQI8CHz1mH2KgOu11psAlFJPYs6TACjRWn+nNyfsc1oWrfUrwCvHbD4I3NTXY48Ez763B4CXP9nH15aoLic6FHUI+FbvKCE9Ify4fSxhVdgTCrGENLK6OJIzU2Yct8+2/WauuMxEN7MnmCte5FYe4J2DHxBiDeEr6ooeJ1tUfPA+Zf98AWt4OKnfvoWwCZIEuCNnhxa+s6f03CXbusqJ+fj4/69C9IWstiHEsHQRcJ//8QrgmWN30FrvaX2slEoCnFrrPP+mCKXU/8PMjFIHPK619h57jI6GTeLlmJgw7HZbzzsGmTf+8KUT2u+vdx0/EeLsmT2k6OjEc79Yety2hIQc5mQ/fMLHSLjmCsZdc0Wvzz3c2KxWbDYrCQkRPe/cC7d+eRq3fvnEJ73AiV8HPQkPN1sUo6JC+/19iVOLw2F+vSfER2CTVmNC7DYsFot8LsSgUUq9C3S2lug9mN2zNf6/q4EYpZS9m6DtFuDxDn8/D2zVWnuVUr8H/hv4VXflGTYBX0VF/VAXYdCt3XWYx1/bEbCttSu2tqGZp9/ZzfzJKcRHubjnqbUsmJKCt8Vg5fYSzjkjjY82HSJC7cQbWQBAijOTsr2J1FaHkDn9AKWekoBjGwa0HB5FzqhU0pNdbCrdSlnDUVw2J1ery5nVzaoahtfL0Tdeo/ytN7A4XWTe9TOcaen9XCODq8VnQIuPsrKannfuheWf7uOtVXnERbp44Ja5J/SajXvK+Mur27n76zPaJtGcjLo6DwBVVQ39/r7EqaW5uQWAsiM1bSvojGTN3hYwDPlciH7T082D1npJV88ppUqBCKASc3JrRVfBnlLKCczQWt/b4dgbO+zyEWa+41Mj4BuJtuQeOW5bs9f8kv5kUyEb95RxoLiaqdnmWqoJcXZKPYexRpWhK+txjN+GN6KC1NA0vjnlWhLDEvj5nrXU1NeS9/kUbrx+Lq9s2EhtrQWaQ7Cn52JPzmOnJ4+deWC1WFmQNpeLxpyP29F1V2JTcRGHn3+Wht27sEVFkXHnXTiSOrtpEQCLpqWxt6CKy+b3PBay1RnjEvjrjxcGZe5CMcSkS1eI4egtzLR2h+gwuVUpZQXStdb5Hfa9FvhHxxcrpR7QWv/Y/2c25spm3ZKAbwi1rl/7lx+czXcf+pSstCh+/fcNlFc3khhjjuuqqPHwyfZcQsbk8p/a9/Dhw6mgHLABE6JP51tTrsVhO3aJLwsqPIfGfR5iwxyMy4jmiy2pWMNquOLs08hOiSXVnUJ4SNcpXQzDoOrzTzny0ov4GhsJmzSZpK/eQEhc3ADXzKktNtLFT6/r/RrEEuyJ/tR6OclkBSGGpbuA3ymlxgFjgR/5t+dgrlY2ucO+VwHHjvtJUErdD9QDihOYHCsB3xCqbWjG5bDhdNgIddrILWxPuXKguBqLsw57ygFs8YVYrAZxrgQynFms2VGGxeGhpSKRb33jShy29rGPF8zKbFtB47UvDtDY1EJWeiiJMaHQ7MJX5WJeZs5xa8J2ZPh81G5cz9HXXqWpuAhsNpJuvJnIufODLigJtgHtvV0qTowAckmYpB7EMKK1Lge+2cn2zQQGe2itL+xkvxt6e04J+IaIz2dwpKqRaH/gFRHmoMHT0Pa8xVWLQ63H6mzEaHIywXUm3z3zAgzDwor3P2nbzxESONElMykClRGNPlTJKn/gt31/Od+5dCIVtR7OmZbWZbBneL1Ur15FxQfv0VRwCGw2wqdMJfEr1xGS0H2yYSGEEEIMXxLwDZH80hoaPF5mKDOQSosPp7TCDPgsjgac49dicTQRWXM6P1p0NXGRoW2vTcJCI08AABZQSURBVE9wU1BW2+Wxb182mdse+bzt78UzMwhzhfDVxeq4fX2NjTQePEDtls1Ur/gCX72Z/iVi9hxiL7oEZ2pqv7zf4SjIGisDBPN7EyfIfxFIw1YH8sEQI5gEfB1U1nqICAvBZh34GW278ioAmDAqBjBb+AAszjqcE1dhsXuZHjmfGxddclw36t1fn85vntvI/MkpnR477JgEzlcuHNv22PB68RQcon73Lup37aRhj8ZobgbA6nYTff4SYs5bLOP0hAgWEvEJIZCAr01uQRW/eW4Dl8wdzSXzRrN212GmZiUQ5ur/Kio8Usf63ebywllp5ioL7tAQLI4GHNmbsNi9NBedxuwx8zodMxdit3HvDd2vWfuHW+fxwz+vwGm34s0/SNX2bTTk7qVx/z58De1dx460dMInTSJUTSBs/ASsDkc/vlMhxFCRtiwhREcS8AGrtpfwf2/uBODdtflEhjt4/v09hLv28qc7FvTruQzD4O4n1rT9HR1hjqfzOatwqHVYQ+vxlqbjLcjG5ej9/x6fx0PDXk3ztm38ty8PCorJv68971RIUhIRs2YTmjWO0OxsQuJlbJ4QQakt4pMmPiGEBHwAbcEeQGZyBM+/b65mUtfo5ab7P+LX35hNQVktqfHhpCe4ATNw+3xrMXmHa7jm3GzsJ5jY9Gh1Y8DfdpuVkrpSVje+hjW0AW9ZGs0HJwFmeo8T4WtuombtGmo3rKd+5w4Mb3vuRntMLGHzziI8J4fQbIU9MvKEjimEOLW1xnsycVsIASMw4KttaOaNFQe5YHYmMRFO6hub256z26zkFvhTo9g92OJKsLrqeGxFCWWNZVhDa8lMiGJ2Wg6xzeN4+p3dAHy8sRCABVNSuWHpeAB2Hiwn1GlnTEpggLV9f3nb4x9cPYXyxgoeWP8nPIYHd9UkluUsYfTiCELsNmIiuk+dUr9zB9UrV1C7aUPbODxHWjrhk3MInzgJ12ljsTq7PoYQQgghRoYRF/A9+65m3e5Sio7WMXN8YlvQdtXCseQWVrEptxRbfAEho3ZjsfoAqCAfewQYPgsF9VUU5ObjJIyQTLM71Gix46uP4Iv95Uw8aCcjNoYHX9wMWPjDrfPaAjefYfDeukPYrBYeuGUuoaEWHt/yNxpbPFw29kLOyzy72zx3hmHgyc+j6tOPqd20kZYas6s2JDEJ9/QZRM07C0dy8gDWnjh1yAguIdfAsaRGxEg2ogK+6rom1vknS+w4UM6OA+2tbTPGJ7DXuxZX+FYsDg9Om4OU5mno3WBxNOJrDMeod2MLaWHhkgZWHV6NPTnvuHM8vX8t7AfXGSEY3hB+v2E9GTHxpLlTGB0ykZLyes6cmEREmJ0X9SvsqdzH+Jhszs1c0GWw15oIueL992jcZ66eYnNHEHnWAqLOOhvXmNOCLiGyEKKPWlfakC5dIQQjLOBbub2k0+3jx7h59dBydNM2sIbgLU3nF1+6Dm9DKHetX92231cXj+PZ9/bw4ZshYD0HS2gtP712Ol6Lh21FB/lg0wEs9mYsIY1YwmqxWFuo9law4+gRdhzdjZXPcGTHUhIZzr2rXqPCU0lSWALfybkBq+X4MYDN5Uep+vQTqleuwFthBqfhOVOIOnsR4ZNzsAxC+hghxKlOIj4hxAgK+JqaW3jpY7N17KtLFM++qwGwhFfhydzE5rLDpLlTOMv9JcbPSiE+NJQKr6ft9QunprJgairPvmdO6MBnx+WNJztuFAAqJpv/vPlxwDnHpUexp6CKrIxQJkz18F7eJ9hiyjjcUka4NYw5KTO5LOtCQmyBefOaj5RR/s7bVK/4HMPrxeJwEDnvLGKXXogjufPce+IkBVnzR5C9HdEH0uYfSD4bYqQbMQHfdn/3bVpCOGNTI8HWREjGHkISCylpMJiRNJWvTbgam7V9qbJQZ/vjxbMysVmtfOPiCTzx5i4AHCHtLWxWi4WbL5rAq58f4Gh1I5edNYaaumb2FFSRe6iB3EMACyCkkYduPYsopzugG9YwDDyH8ql49x1q1q0Fn4+QxCRiL7gQ98xZ2ELbV9oQQogeScQnhOhgxAR8rYmOv750HDvq1uOa+ikWWwsp4clckX0xE2LHHfcal8POlQvHYrVYSI4NA2DOxGQ27TnChj1lXH9+4GvmTU5h3uQUDMPAYrFQVtnAhxsLAvb58vxJRLsi2v42DIPaTRupePedtvF5juQUYpZcQMSZc7GGBLb+if4TzL+HMqRTWPxXuLRsdSCfCzGCjZiAb19RFbEpdbxW/A/2Vx0kxG7n7NRzuDjrHBy2rleXuPDMUQF/WywWvnv5JKpqm7pMm9LacpcQHdo27q/V4lkZABgtLdRt28rR11/Fk29O/gibNJnoRecSnjNFJmEIIYQQot+MmIAv8Yzt7K/NZX8VTIwbz7XjlxHtjDqpY1ktlm5z5HW06Ix03lmTz5GqRsKdNjz7cqnbvo2atWtoLj0MFgvuadOJu+wKnGlpJ1UeIYQ4jtwzCiE6GDEB34SEMSS4o5ibOous6DGDck6jpYWGvXu4MewgB3ftYLRRyaH76wCw2O1EzjuL6HPPw5U5qocjCSHEyTGkT1cIwQgK+C4cc/6gnMdbVUXdtq3Ubd9G/c7t+OrrsQFjAXtsHKFTcnBPmUb45BysrhNbOk0MHPkpFGKkkE+7GNlGTMA3kFpqa6nZsI7aDetp2KPb1rK1RUcTNetMwidNxjV2LPYIWcdWCDE4ZBiwEKIjCfhOgmEYNBUUUL9rJ/W7dlC/e1f7WrbpGUTOPhP3tOmEJCXJ5IvhzGKRKYwiiMksXSFEOwn4esFTVEjN6lXUrFtLc1lp23ZHWjqRZ84hYuYsQuIThrCEQghhkntNIURHEvD1wPB6qdu5ncr336N+104ArC4X7hmzcOdMwZWVjSMxcYhLKYQQXZAmPiEE/RDwKaVCgTXAe1rrHymlXMCDQCGQDdyvtd7T3TGGI19TE5Uff0jVJx/RXFYGgGtsFtGLzsE9bTpW54mlZRFCCCGEGGr90cL3a2BTh7/vAPK11r9XSk0GngTO6ofzDAqfx0PV559x9LV/42towGK3E7XgbKIWLMI1evRQF0+I7klrjvBr7dKVK8IkHw0x0vUp4FNKfRVYAeQAbv/mi4C7ALTW25RSU5RSkVrr6j6VdID5mpoof/sNqj79hJaaGixOF7EXXkzMkqXYwsOHunhCCHFyJNARQtCHgE8pdTowQWt9l1Iqp8NTiUBNh7+r/duGZcBn+HzUblxP6QvP0VJdjdXtJmbJBcScvwR7dMxQF0+IkyID9oUstXE8yZogRrK+tPBdDjQqpX4KzAccSqk7gFIgosN+kf5tw079Hs3RV5bTsHcP2GzELFlK7MWXYgsNHeqiCSFE30iXrhCig5MO+LTW97U+9k/UcGutH/E/ngN87h/Dt2U4decaXi81G9ZT9fmnNOzeBUB4zhTir/wyzlRZy1YIERza2rJk8JoQw45Sygp8E/gVcI7WensX+50HXIHZcGZorX/h3x4L3A/sx5wge5fW+nB35+yPWbrLgAWYLXzXAH8EHlRK/QzIAm7u6zn6g8/joWbtasrffYfmkhIAQscp4i+/ktDs7CEunRgqPp9BXa1nqIvRb5qaWoa6CGKYaahvxmKVrkyfTwJfMaxMwcxwUt/VDkqpMOBxYKLW2qOUWq6UOldr/SHwG+ADrfVLSqlLMLOjfLW7E/Y54NNaLweWH7P51r4et78VPPQAjftysdjtRM6dT8z5i3FmZA51scQQslot1FQ18fdHVw11UQaA/MCPdK1B3stPbxjikgwfDqdtqIsgBABa600ASqnudpsD5GmtW1slVmBOjP3Q/+99HbY/09M5h03i5ZiYMOz2gfswJjz0uwE7tjg1nXPhePbs6LYF/JQUFu5g0pRUQhzD5uMthsD8c7JxOuzSstXBqLFxJCRE9LyjEP1AKfUukNTJU/dorV8/gUN0NQn22OeqgRillF1r7e3qYMPmF6GiostWTSEGRHJGFMkZUUNdjAFRWdUw1EUQQ8wZZmf+YhmucqyyspqedxLiBPR086C1XtLHU3Q3Cbb1uUr/9orugj0Aax8LI4QQQggh+olSaoz/4SpglFKqdWmvecBb/sdvYXb5Hru9SxZjmMzgKiurGR4FEUIIIYToQUJCxEkPllZKxWDOd/gh8CzwgtZ6tVIqAdgMjNVaNyqlzgeuBMqA5mNm6f4OyAPGAj/taZauBHxCCCGEEL3Ul4BvKEiXrhBCCCFEkJOATwghhBAiyEnAJ4QQQggR5CTgE0IIIYQIchLwCSGEEEIEOQn4hBBCCCGCnAR8QgghhBBBTgI+IYQQQoggN2wSLwshhBBCiIEhLXxCCCGEEEFOAj4hhBBCiCAnAZ8QQgghRJCTgE8IIYQQIshJwCeEEEIIEeQk4BNCCCGECHIS8AkhhBAnSCklv5vilCQXbhBTSqUOdRmGE6XUGKWUWyllGeqyDAdKqdM6PB7RdaKUOl0pNWaoyzFcKNMVSqmQoS7LcKCUylFKvayUitRa+4a6PEPN/10aPtK/N0419qEuQH9RSrmAPwIrtNZ/V0pZR+oHUykVBlwMXKWU2gt8oLX+aIiLNWSUUm7gAuAa4DCwHnhqSAs1xJRSS4GnlFJ3a62fwLz5axniYg06pVQ08P+AecBtwAGllEVrPSIz0iulQoGlwHxgFRAFHBnSQg0h//XxU2ASYACzgA+GtFBDyP9dejFwOVABrGWEf5eeSoKphS8DiAAeUUrZRnCwNwn4M1AA/BcQBkwbqd0QSqnRwENAPfBNIB9I9z834u5OO1wHPuAj4OtKqSitdctIu0aUUtnAC8Bu4CwgTynlAGz+50fc9YEZ0DRrrX8AbAO8/pvpEVcfSql5wBqgBLgaWA7s9z83ouoC2r47bsO8CfgWsBOIHYl1cao65b/gO/xIJWitrwX2Yv7Aj9SxFgeBGmCt1roI88csc6QGwJhf1pVa67e11uWAG6hVSsWNtFYcf8tV63WQBfwb80f9R0qpWMybg5HkELABsyXrRuB24GHgRwAj6fpQSln9P9wLgWal1BXAl4F7MW8gR1R9+G0GHtdaP6K1rgNSgMtgRNYFmDdCFwCHtNZVgANIAHKGtFTihJ2SAZF//MC3jhlPsd3/703AbUqp07TWvmC/++hYFwBa61rgHq21179LLvCZf9+kISrmoOmkPhqB3/qfmwLEAE7gVaXUMv/2oL1GjvmsGEopm/+pI8B7wBfAV4E7/ddO0NZHF9fGR5jfGZ9qrX8OvAUsVkotHLKCDpJjv0f9QUwR5tCYIq31L4HHgFlKqcuHtLCDoJProw7z/bf6GPOGOmg/Ix11Uh/NwGvAV5RSrwCRmDdNLyqlrvW/Jujr5VR2ygV8/i6XO4ErgC+1btdaV/u7cndgdtM87H8qfvBLOTi6qYvKDrvNAj7wd1/dNrglHFzd1EeF/+EurfWtWuvfAm8Cqf7ng/JuvbP60Fq3jtM7D7geGIMZ9IxWSk327xN09dHNtfEx8Fet9V7/pk+ATYD32GMEk67qA3gaiAXmAPjr5XlOwd+K3ujm+vB02C0LmObfHnSfkY66qY+Hgbswv0vv0Vo/CvwFs6Uv6OvlVHcqfogdwFbMgbNzWmfW+e8sWi+2rwOXKKVeAIK5Vau7umjt0s7A/MA+BlQHeTd3V/XR+p4z/H/PA6YDq4eikIOoq/pwYgY1hcDv/M8vAs4J4uuj07oA0Frv8Y99BZgMZGK2dAWzTuvD34rzY+AHSqkU/2fldMzxWsGs2+9Sv9eBcP/EhWDX5ecFmAJ8H0ApNR+zUWHloJdQ9JrFMIZ3QK6UGo95l/EBsFNrXevvlpoCfNe/7eEO+7sw78KuBx7VWu8agmIPiN7Uhf+Lah5mF9XTwP9qrYPqS/skro07ganA+8D7WuuCISj2gOnl9RGhta7xz8o8F/OOfd9Qlb2/ncS18SvgNMzhD2+N5GvDv//3Mce7tgDPaK0Lh6DYA6a39eF/zWxgFLC8Q0t5UDiJ6+NFzIlwe4G/B9v1EayGZcDXmhZBKfVdzHECB4CzgXCt9Q0d9vse5nT5h1sDO38LRVjreKRTXR/rYjwwWWv9r8Ev+cDoY30kAaO11msGv+QDoy/10fH1g1zsAdHHayMByNBabxz8kg+Mfrg2bMEU2PS1PoJNHz8vLiBSa106+CUXJ2vYdd/4W6ZC/X9GA//RWr8E3AMsU0ot7rD7v4Am4A9KqVuVUg7/4OOgCfY4+bpwaa13B1uwx8nXh1NrfTjYgj16Xx8Ptn5WIHjG3PTDtVEWbMEeffgehYDxnqe8/qiPYNIPn5dGCfZOPcMq4FNKzcFMqfKgUmoi5t3GKACt9VHMFAEPdniJDXOM3ibMZuWmwS3xwOmHumgc3BIPrH6oDw9BpA/1sRn5rMi1MUK+R0Hq41jyeRm5hkWXrn8Q7M8xxwO8BDyBeXFVArdprcf793MCrwA/0VpvU0rFA65gGm8jdRFI6iOQ1Ec7qYtAUh+BpD4CSX2I4dLCZ2DOGPxAmyk0fgHM8k/59iql7vDvF4eZSHgngNb6SBBehFIXgaQ+Akl9tJO6CCT1EUjqI5DUxwg3XNbSrQde1lof6rBtlf/fu4ELlFIPANXAhmAaW9IJqYtAUh+BpD7aSV0EkvoIJPURSOpjhBsWAZ9/4HjHi3AU0Do7ygH8BjOx4wH/GIOgJXURSOojkNRHO6mLQFIfgaQ+Akl9iGER8HUiBShXSv0D8ADvaa3zhrhMQ0XqIpDURyCpj3ZSF4GkPgJJfQSS+hhhhsWkjY6UUsmYWbu3AS9prZ8f4iINGamLQFIfgaQ+2kldBJL6CCT1EUjqY2Qaji18PuBJ4EGZ/i11cQypj0BSH+2kLgJJfQSS+ggk9TECDbsWPiGEEEII0b+GS1oWIYQQQggxQCTgE0IIIYQIchLwCSGEEEIEOQn4hBBCCCGCnAR8QgghhBBBbjimZRFCiE4ppeYBvwZOx1zgPQZwA3/TWr/cw2tvABZqrW8Y4GIKIcSwIy18QohThtZ6BfAM5vJP39FaXw18A7hbKfX9oS2dEEIMX9LCJ4Q4pWmti5VSdwLLlVL/Bv4M7ADigPVa68eVUtnA9UCaUupR4A2t9btKqe8B44AGIBr4vta6dmjeiRBCDBwJ+IQQwWAdEA4kAn/QWn8MoJTaqpR6XWu9Vyn1HGaX7m3+584FLtVan+f/+9fAncA9Q/IOhBBiAEnAJ4QIJlZgoVLqGqAeiAXGAkWd7LsUiFdKPe7/Ox4oHpRSCiHEIJOATwgRDGYCdcA5wDSt9aUASqmpgK2L11iAVVrr7/r3tQBhg1BWIYQYdDJpQwhxSlNKJQO/B+7FHLdX7t9uBdI77NoI2JRSFqXU14F3gEVKqdYb38uAOwat4EIIMYgshmEMdRmEEOKEKKXmAL8CJgEvY6ZliQKe1Vr/UymVCbwI7AWOAl8CtgI3A6HAciAX+Ehr/ZRS6g5gLnAIcAE/1Fo3Du67EkKIgScBnxBCCCFEkJMuXSGEEEKIICcBnxBCCCFEkJOATwghhBAiyEnAJ4QQQggR5CTgE0IIIYQIchLwCSGEEEIEOQn4hBBCCCGCnAR8QgghhBBB7v8D4ztCnuHqbgwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = data.plot(secondary_y='Position', figsize=(10, 6))\n",
    "ax.get_legend().set_bbox_to_anchor((0.25, 0.85));\n",
    "# plt.savefig('../../images/ch15/strat_plot_02.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vectorized Backtesting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Returns'] = np.log(data[symbol] / data[symbol].shift(1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Strategy'] = data['Position'].shift(1) * data['Returns']  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>SMA1</th>\n",
       "      <th>SMA2</th>\n",
       "      <th>Position</th>\n",
       "      <th>Returns</th>\n",
       "      <th>Strategy</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-12-31</th>\n",
       "      <td>46.0800</td>\n",
       "      <td>45.2810</td>\n",
       "      <td>37.1207</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-03</th>\n",
       "      <td>47.0814</td>\n",
       "      <td>45.3497</td>\n",
       "      <td>37.1862</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0215</td>\n",
       "      <td>0.0215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-04</th>\n",
       "      <td>47.3271</td>\n",
       "      <td>45.4126</td>\n",
       "      <td>37.2525</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0052</td>\n",
       "      <td>0.0052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-05</th>\n",
       "      <td>47.7142</td>\n",
       "      <td>45.4661</td>\n",
       "      <td>37.3223</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0081</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-06</th>\n",
       "      <td>47.6757</td>\n",
       "      <td>45.5226</td>\n",
       "      <td>37.3921</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.0008</td>\n",
       "      <td>-0.0008</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             AAPL.O     SMA1     SMA2  Position  Returns  Strategy\n",
       "Date                                                              \n",
       "2010-12-31  46.0800  45.2810  37.1207         1      NaN       NaN\n",
       "2011-01-03  47.0814  45.3497  37.1862         1   0.0215    0.0215\n",
       "2011-01-04  47.3271  45.4126  37.2525         1   0.0052    0.0052\n",
       "2011-01-05  47.7142  45.4661  37.3223         1   0.0081    0.0081\n",
       "2011-01-06  47.6757  45.5226  37.3921         1  -0.0008   -0.0008"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.round(4).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Returns     4.017148\n",
       "Strategy    5.811299\n",
       "dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(data[['Returns', 'Strategy']].sum())  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Returns     0.250571\n",
       "Strategy    0.250407\n",
       "dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['Returns', 'Strategy']].std() * 252 ** 0.5  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = data[['Returns', 'Strategy']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6))\n",
    "data['Position'].plot(ax=ax, secondary_y='Position', style='--')\n",
    "ax.get_legend().set_bbox_to_anchor((0.25, 0.85));\n",
    "# plt.savefig('../../images/ch15/strat_plot_03.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import product"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "sma1 = range(20, 61, 4)  \n",
    "sma2 = range(180, 281, 10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = pd.DataFrame()\n",
    "for SMA1, SMA2 in product(sma1, sma2):  \n",
    "    data = pd.DataFrame(raw[symbol])\n",
    "    data.dropna(inplace=True)\n",
    "    data['Returns'] = np.log(data[symbol] / data[symbol].shift(1))\n",
    "    data['SMA1'] = data[symbol].rolling(SMA1).mean()\n",
    "    data['SMA2'] = data[symbol].rolling(SMA2).mean()\n",
    "    data.dropna(inplace=True)\n",
    "    data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)\n",
    "    data['Strategy'] = data['Position'].shift(1) * data['Returns']\n",
    "    data.dropna(inplace=True)\n",
    "    perf = np.exp(data[['Returns', 'Strategy']].sum())\n",
    "    results = results.append(pd.DataFrame(\n",
    "                {'SMA1': SMA1, 'SMA2': SMA2,\n",
    "                 'MARKET': perf['Returns'],\n",
    "                 'STRATEGY': perf['Strategy'],\n",
    "                 'OUT': perf['Strategy'] - perf['Returns']},\n",
    "                 index=[0]), ignore_index=True)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 121 entries, 0 to 120\n",
      "Data columns (total 5 columns):\n",
      "SMA1        121 non-null int64\n",
      "SMA2        121 non-null int64\n",
      "MARKET      121 non-null float64\n",
      "STRATEGY    121 non-null float64\n",
      "OUT         121 non-null float64\n",
      "dtypes: float64(3), int64(2)\n",
      "memory usage: 4.8 KB\n"
     ]
    }
   ],
   "source": [
    "results.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SMA1</th>\n",
       "      <th>SMA2</th>\n",
       "      <th>MARKET</th>\n",
       "      <th>STRATEGY</th>\n",
       "      <th>OUT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>40</td>\n",
       "      <td>190</td>\n",
       "      <td>4.650342</td>\n",
       "      <td>7.175173</td>\n",
       "      <td>2.524831</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>32</td>\n",
       "      <td>240</td>\n",
       "      <td>4.045619</td>\n",
       "      <td>6.558690</td>\n",
       "      <td>2.513071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>40</td>\n",
       "      <td>220</td>\n",
       "      <td>4.220272</td>\n",
       "      <td>6.544266</td>\n",
       "      <td>2.323994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>36</td>\n",
       "      <td>200</td>\n",
       "      <td>4.074753</td>\n",
       "      <td>6.389627</td>\n",
       "      <td>2.314874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>40</td>\n",
       "      <td>180</td>\n",
       "      <td>4.574979</td>\n",
       "      <td>6.857989</td>\n",
       "      <td>2.283010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>44</td>\n",
       "      <td>220</td>\n",
       "      <td>4.220272</td>\n",
       "      <td>6.469843</td>\n",
       "      <td>2.249571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>56</td>\n",
       "      <td>200</td>\n",
       "      <td>4.074753</td>\n",
       "      <td>6.319524</td>\n",
       "      <td>2.244772</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     SMA1  SMA2    MARKET  STRATEGY       OUT\n",
       "56     40   190  4.650342  7.175173  2.524831\n",
       "39     32   240  4.045619  6.558690  2.513071\n",
       "59     40   220  4.220272  6.544266  2.323994\n",
       "46     36   200  4.074753  6.389627  2.314874\n",
       "55     40   180  4.574979  6.857989  2.283010\n",
       "70     44   220  4.220272  6.469843  2.249571\n",
       "101    56   200  4.074753  6.319524  2.244772"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sort_values('OUT', ascending=False).head(7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Walk Hypothesis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbol = '.SPX'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(raw[symbol])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "lags = 5\n",
    "cols = []\n",
    "for lag in range(1, lags + 1):\n",
    "    col = 'lag_{}'.format(lag)  \n",
    "    data[col] = data[symbol].shift(lag)  \n",
    "    cols.append(col)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>.SPX</th>\n",
       "      <th>lag_1</th>\n",
       "      <th>lag_2</th>\n",
       "      <th>lag_3</th>\n",
       "      <th>lag_4</th>\n",
       "      <th>lag_5</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-01</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-04</th>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1141.69</td>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>1144.98</td>\n",
       "      <td>1141.69</td>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1146.98</td>\n",
       "      <td>1144.98</td>\n",
       "      <td>1141.69</td>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               .SPX    lag_1    lag_2    lag_3    lag_4    lag_5\n",
       "Date                                                            \n",
       "2010-01-01      NaN      NaN      NaN      NaN      NaN      NaN\n",
       "2010-01-04  1132.99      NaN      NaN      NaN      NaN      NaN\n",
       "2010-01-05  1136.52  1132.99      NaN      NaN      NaN      NaN\n",
       "2010-01-06  1137.14  1136.52  1132.99      NaN      NaN      NaN\n",
       "2010-01-07  1141.69  1137.14  1136.52  1132.99      NaN      NaN\n",
       "2010-01-08  1144.98  1141.69  1137.14  1136.52  1132.99      NaN\n",
       "2010-01-11  1146.98  1144.98  1141.69  1137.14  1136.52  1132.99"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "reg = np.linalg.lstsq(data[cols], data[symbol], rcond=-1)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.966, 0.005, 0.025, 0.   , 0.003])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg.round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.bar(cols, reg);\n",
    "# plt.savefig('../../images/ch15/strat_plot_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Prediction'] = np.dot(data[cols], reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[[symbol, 'Prediction']].iloc[-75:].plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_plot_05.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
